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Finding the Fourth Proportional to 2,385.13, 3,578.08 and 741.34

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Solution

The fourth proportional to 2,385.13, 3,578.08 and 741.34 is: 1,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.13 : 3,578.08 = 741.34 : x
  2. Step 2: Convert to fraction form
    2,385.13/3,578.08 = 741.34/x
  3. Step 3: Cross multiply
    2,385.13x = 3,578.08 × 741.34
  4. Step 4: Simplify right side
    2,385.13x = 2,652,573.83
  5. Step 5: Solve for x
    x = 2,652,573.83/2,385.13
  6. Step 6: Final answer
    x = 1,112.13

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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.