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Finding the Fourth Proportional to 1,572.04, 2,170.02 and 1,047.88

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Solution

The fourth proportional to 1,572.04, 2,170.02 and 1,047.88 is: 1,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.04 : 2,170.02 = 1,047.88 : x
  2. Step 2: Convert to fraction form
    1,572.04/2,170.02 = 1,047.88/x
  3. Step 3: Cross multiply
    1,572.04x = 2,170.02 × 1,047.88
  4. Step 4: Simplify right side
    1,572.04x = 2,273,920.56
  5. Step 5: Solve for x
    x = 2,273,920.56/1,572.04
  6. Step 6: Final answer
    x = 1,446.48

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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.