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Finding the Fourth Proportional to 2,385.16, 3,577.43 and 923.31

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Solution

The fourth proportional to 2,385.16, 3,577.43 and 923.31 is: 1,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.16 : 3,577.43 = 923.31 : x
  2. Step 2: Convert to fraction form
    2,385.16/3,577.43 = 923.31/x
  3. Step 3: Cross multiply
    2,385.16x = 3,577.43 × 923.31
  4. Step 4: Simplify right side
    2,385.16x = 3,303,079.20
  5. Step 5: Solve for x
    x = 3,303,079.20/2,385.16
  6. Step 6: Final answer
    x = 1,384.85

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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.