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Finding the Fourth Proportional to 3,001.60, 4,502.40 and 2,526.40

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Solution

The fourth proportional to 3,001.60, 4,502.40 and 2,526.40 is: 3,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.60 : 4,502.40 = 2,526.40 : x
  2. Step 2: Convert to fraction form
    3,001.60/4,502.40 = 2,526.40/x
  3. Step 3: Cross multiply
    3,001.60x = 4,502.40 × 2,526.40
  4. Step 4: Simplify right side
    3,001.60x = 11,374,863.36
  5. Step 5: Solve for x
    x = 11,374,863.36/3,001.60
  6. Step 6: Final answer
    x = 3,789.60

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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.