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Finding the Fourth Proportional to 2,497.08, 3,746.35 and 742.10

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Solution

The fourth proportional to 2,497.08, 3,746.35 and 742.10 is: 1,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.08 : 3,746.35 = 742.10 : x
  2. Step 2: Convert to fraction form
    2,497.08/3,746.35 = 742.10/x
  3. Step 3: Cross multiply
    2,497.08x = 3,746.35 × 742.10
  4. Step 4: Simplify right side
    2,497.08x = 2,780,148.53
  5. Step 5: Solve for x
    x = 2,780,148.53/2,497.08
  6. Step 6: Final answer
    x = 1,113.36

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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.