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Finding the Fourth Proportional to 1,577.97, 2,350.32 and 1,506.89

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Solution

The fourth proportional to 1,577.97, 2,350.32 and 1,506.89 is: 2,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.97 : 2,350.32 = 1,506.89 : x
  2. Step 2: Convert to fraction form
    1,577.97/2,350.32 = 1,506.89/x
  3. Step 3: Cross multiply
    1,577.97x = 2,350.32 × 1,506.89
  4. Step 4: Simplify right side
    1,577.97x = 3,541,661.95
  5. Step 5: Solve for x
    x = 3,541,661.95/1,577.97
  6. Step 6: Final answer
    x = 2,244.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.