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Finding the Fourth Proportional to 2,425.59, 3,633.87 and 2,038.11

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Solution

The fourth proportional to 2,425.59, 3,633.87 and 2,038.11 is: 3,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.59 : 3,633.87 = 2,038.11 : x
  2. Step 2: Convert to fraction form
    2,425.59/3,633.87 = 2,038.11/x
  3. Step 3: Cross multiply
    2,425.59x = 3,633.87 × 2,038.11
  4. Step 4: Simplify right side
    2,425.59x = 7,406,226.79
  5. Step 5: Solve for x
    x = 7,406,226.79/2,425.59
  6. Step 6: Final answer
    x = 3,053.37

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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.