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Finding the Fourth Proportional to 2,648.13, 3,967.02 and 1,415.10

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Solution

The fourth proportional to 2,648.13, 3,967.02 and 1,415.10 is: 2,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.13 : 3,967.02 = 1,415.10 : x
  2. Step 2: Convert to fraction form
    2,648.13/3,967.02 = 1,415.10/x
  3. Step 3: Cross multiply
    2,648.13x = 3,967.02 × 1,415.10
  4. Step 4: Simplify right side
    2,648.13x = 5,613,730.00
  5. Step 5: Solve for x
    x = 5,613,730.00/2,648.13
  6. Step 6: Final answer
    x = 2,119.88

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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.