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Finding the Fourth Proportional to 2,701.71, 4,045.79 and 1,711.53

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Solution

The fourth proportional to 2,701.71, 4,045.79 and 1,711.53 is: 2,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.71 : 4,045.79 = 1,711.53 : x
  2. Step 2: Convert to fraction form
    2,701.71/4,045.79 = 1,711.53/x
  3. Step 3: Cross multiply
    2,701.71x = 4,045.79 × 1,711.53
  4. Step 4: Simplify right side
    2,701.71x = 6,924,495.24
  5. Step 5: Solve for x
    x = 6,924,495.24/2,701.71
  6. Step 6: Final answer
    x = 2,563.00

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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.