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Finding the Fourth Proportional to 2,711.30, 3,742.09 and 1,715.90

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Solution

The fourth proportional to 2,711.30, 3,742.09 and 1,715.90 is: 2,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.30 : 3,742.09 = 1,715.90 : x
  2. Step 2: Convert to fraction form
    2,711.30/3,742.09 = 1,715.90/x
  3. Step 3: Cross multiply
    2,711.30x = 3,742.09 × 1,715.90
  4. Step 4: Simplify right side
    2,711.30x = 6,421,029.23
  5. Step 5: Solve for x
    x = 6,421,029.23/2,711.30
  6. Step 6: Final answer
    x = 2,368.25

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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.