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Finding the Fourth Proportional to 2,102.71, 2,899.65 and 1,729.30

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Solution

The fourth proportional to 2,102.71, 2,899.65 and 1,729.30 is: 2,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.71 : 2,899.65 = 1,729.30 : x
  2. Step 2: Convert to fraction form
    2,102.71/2,899.65 = 1,729.30/x
  3. Step 3: Cross multiply
    2,102.71x = 2,899.65 × 1,729.30
  4. Step 4: Simplify right side
    2,102.71x = 5,014,364.75
  5. Step 5: Solve for x
    x = 5,014,364.75/2,102.71
  6. Step 6: Final answer
    x = 2,384.72

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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.