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Finding the Fourth Proportional to 2,359.89, 3,542.57 and 1,266.39

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Solution

The fourth proportional to 2,359.89, 3,542.57 and 1,266.39 is: 1,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.89 : 3,542.57 = 1,266.39 : x
  2. Step 2: Convert to fraction form
    2,359.89/3,542.57 = 1,266.39/x
  3. Step 3: Cross multiply
    2,359.89x = 3,542.57 × 1,266.39
  4. Step 4: Simplify right side
    2,359.89x = 4,486,275.22
  5. Step 5: Solve for x
    x = 4,486,275.22/2,359.89
  6. Step 6: Final answer
    x = 1,901.05

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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.