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Finding the Fourth Proportional to 2,385.51, 3,577.98 and 654.27

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Solution

The fourth proportional to 2,385.51, 3,577.98 and 654.27 is: 981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.51 : 3,577.98 = 654.27 : x
  2. Step 2: Convert to fraction form
    2,385.51/3,577.98 = 654.27/x
  3. Step 3: Cross multiply
    2,385.51x = 3,577.98 × 654.27
  4. Step 4: Simplify right side
    2,385.51x = 2,340,964.97
  5. Step 5: Solve for x
    x = 2,340,964.97/2,385.51
  6. Step 6: Final answer
    x = 981.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.