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Finding the Fourth Proportional to 1,572.90, 2,142.06 and 1,563.18

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Solution

The fourth proportional to 1,572.90, 2,142.06 and 1,563.18 is: 2,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.90 : 2,142.06 = 1,563.18 : x
  2. Step 2: Convert to fraction form
    1,572.90/2,142.06 = 1,563.18/x
  3. Step 3: Cross multiply
    1,572.90x = 2,142.06 × 1,563.18
  4. Step 4: Simplify right side
    1,572.90x = 3,348,425.35
  5. Step 5: Solve for x
    x = 3,348,425.35/1,572.90
  6. Step 6: Final answer
    x = 2,128.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.