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Finding the Fourth Proportional to 2,337.60, 3,225.92 and 1,289.66

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Solution

The fourth proportional to 2,337.60, 3,225.92 and 1,289.66 is: 1,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.60 : 3,225.92 = 1,289.66 : x
  2. Step 2: Convert to fraction form
    2,337.60/3,225.92 = 1,289.66/x
  3. Step 3: Cross multiply
    2,337.60x = 3,225.92 × 1,289.66
  4. Step 4: Simplify right side
    2,337.60x = 4,160,317.41
  5. Step 5: Solve for x
    x = 4,160,317.41/2,337.60
  6. Step 6: Final answer
    x = 1,779.74

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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.