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Finding the Fourth Proportional to 2,402.64, 3,306.02 and 1,842.89

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Solution

The fourth proportional to 2,402.64, 3,306.02 and 1,842.89 is: 2,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.64 : 3,306.02 = 1,842.89 : x
  2. Step 2: Convert to fraction form
    2,402.64/3,306.02 = 1,842.89/x
  3. Step 3: Cross multiply
    2,402.64x = 3,306.02 × 1,842.89
  4. Step 4: Simplify right side
    2,402.64x = 6,092,605.45
  5. Step 5: Solve for x
    x = 6,092,605.45/2,402.64
  6. Step 6: Final answer
    x = 2,535.80

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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.