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Finding the Fourth Proportional to 2,414.58, 3,615.36 and 1,579.57

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Solution

The fourth proportional to 2,414.58, 3,615.36 and 1,579.57 is: 2,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.58 : 3,615.36 = 1,579.57 : x
  2. Step 2: Convert to fraction form
    2,414.58/3,615.36 = 1,579.57/x
  3. Step 3: Cross multiply
    2,414.58x = 3,615.36 × 1,579.57
  4. Step 4: Simplify right side
    2,414.58x = 5,710,714.20
  5. Step 5: Solve for x
    x = 5,710,714.20/2,414.58
  6. Step 6: Final answer
    x = 2,365.10

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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.