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Finding the Fourth Proportional to 1,497.49, 2,065.96 and 937.74

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Solution

The fourth proportional to 1,497.49, 2,065.96 and 937.74 is: 1,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.49 : 2,065.96 = 937.74 : x
  2. Step 2: Convert to fraction form
    1,497.49/2,065.96 = 937.74/x
  3. Step 3: Cross multiply
    1,497.49x = 2,065.96 × 937.74
  4. Step 4: Simplify right side
    1,497.49x = 1,937,333.33
  5. Step 5: Solve for x
    x = 1,937,333.33/1,497.49
  6. Step 6: Final answer
    x = 1,293.72

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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.