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Finding the Fourth Proportional to 1,518.57, 2,276.01 and 866.13

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Solution

The fourth proportional to 1,518.57, 2,276.01 and 866.13 is: 1,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.57 : 2,276.01 = 866.13 : x
  2. Step 2: Convert to fraction form
    1,518.57/2,276.01 = 866.13/x
  3. Step 3: Cross multiply
    1,518.57x = 2,276.01 × 866.13
  4. Step 4: Simplify right side
    1,518.57x = 1,971,320.54
  5. Step 5: Solve for x
    x = 1,971,320.54/1,518.57
  6. Step 6: Final answer
    x = 1,298.14

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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.