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Finding the Fourth Proportional to 1,656.38, 2,482.89 and 1,040.52

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Solution

The fourth proportional to 1,656.38, 2,482.89 and 1,040.52 is: 1,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.38 : 2,482.89 = 1,040.52 : x
  2. Step 2: Convert to fraction form
    1,656.38/2,482.89 = 1,040.52/x
  3. Step 3: Cross multiply
    1,656.38x = 2,482.89 × 1,040.52
  4. Step 4: Simplify right side
    1,656.38x = 2,583,496.70
  5. Step 5: Solve for x
    x = 2,583,496.70/1,656.38
  6. Step 6: Final answer
    x = 1,559.72

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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.