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Finding the Fourth Proportional to 1,497.52, 2,065.77 and 937.87

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Solution

The fourth proportional to 1,497.52, 2,065.77 and 937.87 is: 1,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.52 : 2,065.77 = 937.87 : x
  2. Step 2: Convert to fraction form
    1,497.52/2,065.77 = 937.87/x
  3. Step 3: Cross multiply
    1,497.52x = 2,065.77 × 937.87
  4. Step 4: Simplify right side
    1,497.52x = 1,937,424.36
  5. Step 5: Solve for x
    x = 1,937,424.36/1,497.52
  6. Step 6: Final answer
    x = 1,293.75

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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.