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Finding the Fourth Proportional to 1,560.10, 2,338.89 and 636.10

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Solution

The fourth proportional to 1,560.10, 2,338.89 and 636.10 is: 953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.10 : 2,338.89 = 636.10 : x
  2. Step 2: Convert to fraction form
    1,560.10/2,338.89 = 636.10/x
  3. Step 3: Cross multiply
    1,560.10x = 2,338.89 × 636.10
  4. Step 4: Simplify right side
    1,560.10x = 1,487,767.93
  5. Step 5: Solve for x
    x = 1,487,767.93/1,560.10
  6. Step 6: Final answer
    x = 953.64

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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.