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Finding the Fourth Proportional to 2,316.77, 3,475.76 and 929.85

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Solution

The fourth proportional to 2,316.77, 3,475.76 and 929.85 is: 1,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.77 : 3,475.76 = 929.85 : x
  2. Step 2: Convert to fraction form
    2,316.77/3,475.76 = 929.85/x
  3. Step 3: Cross multiply
    2,316.77x = 3,475.76 × 929.85
  4. Step 4: Simplify right side
    2,316.77x = 3,231,930.79
  5. Step 5: Solve for x
    x = 3,231,930.79/2,316.77
  6. Step 6: Final answer
    x = 1,395.02

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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.