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Finding the Fourth Proportional to 2,335.32, 3,502.98 and 1,037.70

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Solution

The fourth proportional to 2,335.32, 3,502.98 and 1,037.70 is: 1,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.32 : 3,502.98 = 1,037.70 : x
  2. Step 2: Convert to fraction form
    2,335.32/3,502.98 = 1,037.70/x
  3. Step 3: Cross multiply
    2,335.32x = 3,502.98 × 1,037.70
  4. Step 4: Simplify right side
    2,335.32x = 3,635,042.35
  5. Step 5: Solve for x
    x = 3,635,042.35/2,335.32
  6. Step 6: Final answer
    x = 1,556.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.