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Finding the Fourth Proportional to 2,497.56, 3,746.43 and 937.40

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Solution

The fourth proportional to 2,497.56, 3,746.43 and 937.40 is: 1,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.56 : 3,746.43 = 937.40 : x
  2. Step 2: Convert to fraction form
    2,497.56/3,746.43 = 937.40/x
  3. Step 3: Cross multiply
    2,497.56x = 3,746.43 × 937.40
  4. Step 4: Simplify right side
    2,497.56x = 3,511,903.48
  5. Step 5: Solve for x
    x = 3,511,903.48/2,497.56
  6. Step 6: Final answer
    x = 1,406.13

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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.