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Finding the Fourth Proportional to 1,711.69, 2,570.25 and 1,433.74

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Solution

The fourth proportional to 1,711.69, 2,570.25 and 1,433.74 is: 2,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.69 : 2,570.25 = 1,433.74 : x
  2. Step 2: Convert to fraction form
    1,711.69/2,570.25 = 1,433.74/x
  3. Step 3: Cross multiply
    1,711.69x = 2,570.25 × 1,433.74
  4. Step 4: Simplify right side
    1,711.69x = 3,685,070.24
  5. Step 5: Solve for x
    x = 3,685,070.24/1,711.69
  6. Step 6: Final answer
    x = 2,152.88

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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.