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Finding the Fourth Proportional to 2,497.57, 3,746.99 and 742.59

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Solution

The fourth proportional to 2,497.57, 3,746.99 and 742.59 is: 1,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.57 : 3,746.99 = 742.59 : x
  2. Step 2: Convert to fraction form
    2,497.57/3,746.99 = 742.59/x
  3. Step 3: Cross multiply
    2,497.57x = 3,746.99 × 742.59
  4. Step 4: Simplify right side
    2,497.57x = 2,782,479.16
  5. Step 5: Solve for x
    x = 2,782,479.16/2,497.57
  6. Step 6: Final answer
    x = 1,114.08

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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.