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Finding the Fourth Proportional to 2,686.71, 3,708.02 and 1,507.84

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Solution

The fourth proportional to 2,686.71, 3,708.02 and 1,507.84 is: 2,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.71 : 3,708.02 = 1,507.84 : x
  2. Step 2: Convert to fraction form
    2,686.71/3,708.02 = 1,507.84/x
  3. Step 3: Cross multiply
    2,686.71x = 3,708.02 × 1,507.84
  4. Step 4: Simplify right side
    2,686.71x = 5,591,093.34
  5. Step 5: Solve for x
    x = 5,591,093.34/2,686.71
  6. Step 6: Final answer
    x = 2,081.02

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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.