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Finding the Fourth Proportional to 3,349.79, 5,024.77 and 1,269.40

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Solution

The fourth proportional to 3,349.79, 5,024.77 and 1,269.40 is: 1,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.79 : 5,024.77 = 1,269.40 : x
  2. Step 2: Convert to fraction form
    3,349.79/5,024.77 = 1,269.40/x
  3. Step 3: Cross multiply
    3,349.79x = 5,024.77 × 1,269.40
  4. Step 4: Simplify right side
    3,349.79x = 6,378,417.91
  5. Step 5: Solve for x
    x = 6,378,417.91/3,349.79
  6. Step 6: Final answer
    x = 1,904.13

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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.