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Finding the Fourth Proportional to 1,735.88, 2,395.78 and 1,037.66

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Solution

The fourth proportional to 1,735.88, 2,395.78 and 1,037.66 is: 1,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.88 : 2,395.78 = 1,037.66 : x
  2. Step 2: Convert to fraction form
    1,735.88/2,395.78 = 1,037.66/x
  3. Step 3: Cross multiply
    1,735.88x = 2,395.78 × 1,037.66
  4. Step 4: Simplify right side
    1,735.88x = 2,485,990.50
  5. Step 5: Solve for x
    x = 2,485,990.50/1,735.88
  6. Step 6: Final answer
    x = 1,432.13

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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.