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Finding the Fourth Proportional to 2,346.71, 3,237.89 and 1,402.85

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Solution

The fourth proportional to 2,346.71, 3,237.89 and 1,402.85 is: 1,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.71 : 3,237.89 = 1,402.85 : x
  2. Step 2: Convert to fraction form
    2,346.71/3,237.89 = 1,402.85/x
  3. Step 3: Cross multiply
    2,346.71x = 3,237.89 × 1,402.85
  4. Step 4: Simplify right side
    2,346.71x = 4,542,282.96
  5. Step 5: Solve for x
    x = 4,542,282.96/2,346.71
  6. Step 6: Final answer
    x = 1,935.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.