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Finding the Fourth Proportional to 1,575.70, 2,170.71 and 1,102.72

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Solution

The fourth proportional to 1,575.70, 2,170.71 and 1,102.72 is: 1,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.70 : 2,170.71 = 1,102.72 : x
  2. Step 2: Convert to fraction form
    1,575.70/2,170.71 = 1,102.72/x
  3. Step 3: Cross multiply
    1,575.70x = 2,170.71 × 1,102.72
  4. Step 4: Simplify right side
    1,575.70x = 2,393,685.33
  5. Step 5: Solve for x
    x = 2,393,685.33/1,575.70
  6. Step 6: Final answer
    x = 1,519.13

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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.