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Finding the Fourth Proportional to 1,866.17, 2,578.56 and 1,534.34

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Solution

The fourth proportional to 1,866.17, 2,578.56 and 1,534.34 is: 2,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.17 : 2,578.56 = 1,534.34 : x
  2. Step 2: Convert to fraction form
    1,866.17/2,578.56 = 1,534.34/x
  3. Step 3: Cross multiply
    1,866.17x = 2,578.56 × 1,534.34
  4. Step 4: Simplify right side
    1,866.17x = 3,956,387.75
  5. Step 5: Solve for x
    x = 3,956,387.75/1,866.17
  6. Step 6: Final answer
    x = 2,120.06

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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.