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Finding the Fourth Proportional to 1,893.53, 2,612.76 and 1,054.23

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Solution

The fourth proportional to 1,893.53, 2,612.76 and 1,054.23 is: 1,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.53 : 2,612.76 = 1,054.23 : x
  2. Step 2: Convert to fraction form
    1,893.53/2,612.76 = 1,054.23/x
  3. Step 3: Cross multiply
    1,893.53x = 2,612.76 × 1,054.23
  4. Step 4: Simplify right side
    1,893.53x = 2,754,449.97
  5. Step 5: Solve for x
    x = 2,754,449.97/1,893.53
  6. Step 6: Final answer
    x = 1,454.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.