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Finding the Fourth Proportional to 2,387.77, 3,577.70 and 926.12

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Solution

The fourth proportional to 2,387.77, 3,577.70 and 926.12 is: 1,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.77 : 3,577.70 = 926.12 : x
  2. Step 2: Convert to fraction form
    2,387.77/3,577.70 = 926.12/x
  3. Step 3: Cross multiply
    2,387.77x = 3,577.70 × 926.12
  4. Step 4: Simplify right side
    2,387.77x = 3,313,379.52
  5. Step 5: Solve for x
    x = 3,313,379.52/2,387.77
  6. Step 6: Final answer
    x = 1,387.65

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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.