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Finding the Fourth Proportional to 3,095.28, 4,642.88 and 786.76

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Solution

The fourth proportional to 3,095.28, 4,642.88 and 786.76 is: 1,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.28 : 4,642.88 = 786.76 : x
  2. Step 2: Convert to fraction form
    3,095.28/4,642.88 = 786.76/x
  3. Step 3: Cross multiply
    3,095.28x = 4,642.88 × 786.76
  4. Step 4: Simplify right side
    3,095.28x = 3,652,832.27
  5. Step 5: Solve for x
    x = 3,652,832.27/3,095.28
  6. Step 6: Final answer
    x = 1,180.13

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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.