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Finding the Fourth Proportional to 1,560.08, 2,338.22 and 866.72

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Solution

The fourth proportional to 1,560.08, 2,338.22 and 866.72 is: 1,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.08 : 2,338.22 = 866.72 : x
  2. Step 2: Convert to fraction form
    1,560.08/2,338.22 = 866.72/x
  3. Step 3: Cross multiply
    1,560.08x = 2,338.22 × 866.72
  4. Step 4: Simplify right side
    1,560.08x = 2,026,582.04
  5. Step 5: Solve for x
    x = 2,026,582.04/1,560.08
  6. Step 6: Final answer
    x = 1,299.02

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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.