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Finding the Fourth Proportional to 3,095.74, 4,642.28 and 986.88

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Solution

The fourth proportional to 3,095.74, 4,642.28 and 986.88 is: 1,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.74 : 4,642.28 = 986.88 : x
  2. Step 2: Convert to fraction form
    3,095.74/4,642.28 = 986.88/x
  3. Step 3: Cross multiply
    3,095.74x = 4,642.28 × 986.88
  4. Step 4: Simplify right side
    3,095.74x = 4,581,373.29
  5. Step 5: Solve for x
    x = 4,581,373.29/3,095.74
  6. Step 6: Final answer
    x = 1,479.90

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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.