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Finding the Fourth Proportional to 2,385.06, 3,577.48 and 741.57

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Solution

The fourth proportional to 2,385.06, 3,577.48 and 741.57 is: 1,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.06 : 3,577.48 = 741.57 : x
  2. Step 2: Convert to fraction form
    2,385.06/3,577.48 = 741.57/x
  3. Step 3: Cross multiply
    2,385.06x = 3,577.48 × 741.57
  4. Step 4: Simplify right side
    2,385.06x = 2,652,951.84
  5. Step 5: Solve for x
    x = 2,652,951.84/2,385.06
  6. Step 6: Final answer
    x = 1,112.32

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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.