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Finding the Fourth Proportional to 2,280.57, 3,147.01 and 1,534.42

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Solution

The fourth proportional to 2,280.57, 3,147.01 and 1,534.42 is: 2,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.57 : 3,147.01 = 1,534.42 : x
  2. Step 2: Convert to fraction form
    2,280.57/3,147.01 = 1,534.42/x
  3. Step 3: Cross multiply
    2,280.57x = 3,147.01 × 1,534.42
  4. Step 4: Simplify right side
    2,280.57x = 4,828,835.08
  5. Step 5: Solve for x
    x = 4,828,835.08/2,280.57
  6. Step 6: Final answer
    x = 2,117.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.