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Finding the Fourth Proportional to 3,116.76, 4,675.10 and 895.65

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Solution

The fourth proportional to 3,116.76, 4,675.10 and 895.65 is: 1,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.76 : 4,675.10 = 895.65 : x
  2. Step 2: Convert to fraction form
    3,116.76/4,675.10 = 895.65/x
  3. Step 3: Cross multiply
    3,116.76x = 4,675.10 × 895.65
  4. Step 4: Simplify right side
    3,116.76x = 4,187,238.02
  5. Step 5: Solve for x
    x = 4,187,238.02/3,116.76
  6. Step 6: Final answer
    x = 1,343.46

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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.