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Finding the Fourth Proportional to 1,573.29, 2,170.87 and 910.10

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Solution

The fourth proportional to 1,573.29, 2,170.87 and 910.10 is: 1,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.29 : 2,170.87 = 910.10 : x
  2. Step 2: Convert to fraction form
    1,573.29/2,170.87 = 910.10/x
  3. Step 3: Cross multiply
    1,573.29x = 2,170.87 × 910.10
  4. Step 4: Simplify right side
    1,573.29x = 1,975,711.94
  5. Step 5: Solve for x
    x = 1,975,711.94/1,573.29
  6. Step 6: Final answer
    x = 1,255.78

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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.