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Finding the Fourth Proportional to 2,394.46, 3,595.47 and 1,424.89

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Solution

The fourth proportional to 2,394.46, 3,595.47 and 1,424.89 is: 2,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.46 : 3,595.47 = 1,424.89 : x
  2. Step 2: Convert to fraction form
    2,394.46/3,595.47 = 1,424.89/x
  3. Step 3: Cross multiply
    2,394.46x = 3,595.47 × 1,424.89
  4. Step 4: Simplify right side
    2,394.46x = 5,123,149.25
  5. Step 5: Solve for x
    x = 5,123,149.25/2,394.46
  6. Step 6: Final answer
    x = 2,139.58

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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.