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Finding the Fourth Proportional to 1,625.57, 2,434.57 and 1,259.18

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Solution

The fourth proportional to 1,625.57, 2,434.57 and 1,259.18 is: 1,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.57 : 2,434.57 = 1,259.18 : x
  2. Step 2: Convert to fraction form
    1,625.57/2,434.57 = 1,259.18/x
  3. Step 3: Cross multiply
    1,625.57x = 2,434.57 × 1,259.18
  4. Step 4: Simplify right side
    1,625.57x = 3,065,543.38
  5. Step 5: Solve for x
    x = 3,065,543.38/1,625.57
  6. Step 6: Final answer
    x = 1,885.83

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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.