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Finding the Fourth Proportional to 1,612.54, 2,223.84 and 1,364.38

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Solution

The fourth proportional to 1,612.54, 2,223.84 and 1,364.38 is: 1,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.54 : 2,223.84 = 1,364.38 : x
  2. Step 2: Convert to fraction form
    1,612.54/2,223.84 = 1,364.38/x
  3. Step 3: Cross multiply
    1,612.54x = 2,223.84 × 1,364.38
  4. Step 4: Simplify right side
    1,612.54x = 3,034,162.82
  5. Step 5: Solve for x
    x = 3,034,162.82/1,612.54
  6. Step 6: Final answer
    x = 1,881.60

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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.