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Finding the Fourth Proportional to 2,337.64, 3,225.85 and 1,289.69

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Solution

The fourth proportional to 2,337.64, 3,225.85 and 1,289.69 is: 1,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.64 : 3,225.85 = 1,289.69 : x
  2. Step 2: Convert to fraction form
    2,337.64/3,225.85 = 1,289.69/x
  3. Step 3: Cross multiply
    2,337.64x = 3,225.85 × 1,289.69
  4. Step 4: Simplify right side
    2,337.64x = 4,160,346.49
  5. Step 5: Solve for x
    x = 4,160,346.49/2,337.64
  6. Step 6: Final answer
    x = 1,779.72

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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.