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Finding the Fourth Proportional to 2,397.89, 3,595.87 and 1,412.70

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Solution

The fourth proportional to 2,397.89, 3,595.87 and 1,412.70 is: 2,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.89 : 3,595.87 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    2,397.89/3,595.87 = 1,412.70/x
  3. Step 3: Cross multiply
    2,397.89x = 3,595.87 × 1,412.70
  4. Step 4: Simplify right side
    2,397.89x = 5,079,885.55
  5. Step 5: Solve for x
    x = 5,079,885.55/2,397.89
  6. Step 6: Final answer
    x = 2,118.48

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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.