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Finding the Fourth Proportional to 1,269.48, 1,904.54 and 1,247.72

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Solution

The fourth proportional to 1,269.48, 1,904.54 and 1,247.72 is: 1,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.48 : 1,904.54 = 1,247.72 : x
  2. Step 2: Convert to fraction form
    1,269.48/1,904.54 = 1,247.72/x
  3. Step 3: Cross multiply
    1,269.48x = 1,904.54 × 1,247.72
  4. Step 4: Simplify right side
    1,269.48x = 2,376,332.65
  5. Step 5: Solve for x
    x = 2,376,332.65/1,269.48
  6. Step 6: Final answer
    x = 1,871.89

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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.