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Finding the Fourth Proportional to 3,115, 4,298.28 and 1,788.46

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Solution

The fourth proportional to 3,115, 4,298.28 and 1,788.46 is: 2,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115 : 4,298.28 = 1,788.46 : x
  2. Step 2: Convert to fraction form
    3,115/4,298.28 = 1,788.46/x
  3. Step 3: Cross multiply
    3,115x = 4,298.28 × 1,788.46
  4. Step 4: Simplify right side
    3,115x = 7,687,301.85
  5. Step 5: Solve for x
    x = 7,687,301.85/3,115
  6. Step 6: Final answer
    x = 2,467.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.