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Finding the Fourth Proportional to 2,056.74, 3,085.26 and 740.76

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Solution

The fourth proportional to 2,056.74, 3,085.26 and 740.76 is: 1,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.74 : 3,085.26 = 740.76 : x
  2. Step 2: Convert to fraction form
    2,056.74/3,085.26 = 740.76/x
  3. Step 3: Cross multiply
    2,056.74x = 3,085.26 × 740.76
  4. Step 4: Simplify right side
    2,056.74x = 2,285,437.20
  5. Step 5: Solve for x
    x = 2,285,437.20/2,056.74
  6. Step 6: Final answer
    x = 1,111.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.