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Finding the Fourth Proportional to 2,337.50, 3,225.76 and 1,289.64

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Solution

The fourth proportional to 2,337.50, 3,225.76 and 1,289.64 is: 1,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.50 : 3,225.76 = 1,289.64 : x
  2. Step 2: Convert to fraction form
    2,337.50/3,225.76 = 1,289.64/x
  3. Step 3: Cross multiply
    2,337.50x = 3,225.76 × 1,289.64
  4. Step 4: Simplify right side
    2,337.50x = 4,160,069.13
  5. Step 5: Solve for x
    x = 4,160,069.13/2,337.50
  6. Step 6: Final answer
    x = 1,779.71

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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.