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Finding the Fourth Proportional to 3,614.66, 4,988.87 and 2,102.69

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Solution

The fourth proportional to 3,614.66, 4,988.87 and 2,102.69 is: 2,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.66 : 4,988.87 = 2,102.69 : x
  2. Step 2: Convert to fraction form
    3,614.66/4,988.87 = 2,102.69/x
  3. Step 3: Cross multiply
    3,614.66x = 4,988.87 × 2,102.69
  4. Step 4: Simplify right side
    3,614.66x = 10,490,047.06
  5. Step 5: Solve for x
    x = 10,490,047.06/3,614.66
  6. Step 6: Final answer
    x = 2,902.08

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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.