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Finding the Fourth Proportional to 1,656.20, 2,482.58 and 560.19

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Solution

The fourth proportional to 1,656.20, 2,482.58 and 560.19 is: 839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.20 : 2,482.58 = 560.19 : x
  2. Step 2: Convert to fraction form
    1,656.20/2,482.58 = 560.19/x
  3. Step 3: Cross multiply
    1,656.20x = 2,482.58 × 560.19
  4. Step 4: Simplify right side
    1,656.20x = 1,390,713.69
  5. Step 5: Solve for x
    x = 1,390,713.69/1,656.20
  6. Step 6: Final answer
    x = 839.70

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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.