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Finding the Fourth Proportional to 2,269.52, 3,132.84 and 1,484.24

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Solution

The fourth proportional to 2,269.52, 3,132.84 and 1,484.24 is: 2,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.52 : 3,132.84 = 1,484.24 : x
  2. Step 2: Convert to fraction form
    2,269.52/3,132.84 = 1,484.24/x
  3. Step 3: Cross multiply
    2,269.52x = 3,132.84 × 1,484.24
  4. Step 4: Simplify right side
    2,269.52x = 4,649,886.44
  5. Step 5: Solve for x
    x = 4,649,886.44/2,269.52
  6. Step 6: Final answer
    x = 2,048.84

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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.