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Finding the Fourth Proportional to 2,281.76, 3,423.24 and 1,048.16

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Solution

The fourth proportional to 2,281.76, 3,423.24 and 1,048.16 is: 1,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.76 : 3,423.24 = 1,048.16 : x
  2. Step 2: Convert to fraction form
    2,281.76/3,423.24 = 1,048.16/x
  3. Step 3: Cross multiply
    2,281.76x = 3,423.24 × 1,048.16
  4. Step 4: Simplify right side
    2,281.76x = 3,588,103.24
  5. Step 5: Solve for x
    x = 3,588,103.24/2,281.76
  6. Step 6: Final answer
    x = 1,572.52

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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.