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Finding the Fourth Proportional to 3,008.76, 4,513.14 and 817.42

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Solution

The fourth proportional to 3,008.76, 4,513.14 and 817.42 is: 1,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.76 : 4,513.14 = 817.42 : x
  2. Step 2: Convert to fraction form
    3,008.76/4,513.14 = 817.42/x
  3. Step 3: Cross multiply
    3,008.76x = 4,513.14 × 817.42
  4. Step 4: Simplify right side
    3,008.76x = 3,689,130.90
  5. Step 5: Solve for x
    x = 3,689,130.90/3,008.76
  6. Step 6: Final answer
    x = 1,226.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.