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Finding the Fourth Proportional to 2,871.74, 4,306.70 and 1,116.63

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Solution

The fourth proportional to 2,871.74, 4,306.70 and 1,116.63 is: 1,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.74 : 4,306.70 = 1,116.63 : x
  2. Step 2: Convert to fraction form
    2,871.74/4,306.70 = 1,116.63/x
  3. Step 3: Cross multiply
    2,871.74x = 4,306.70 × 1,116.63
  4. Step 4: Simplify right side
    2,871.74x = 4,808,993.21
  5. Step 5: Solve for x
    x = 4,808,993.21/2,871.74
  6. Step 6: Final answer
    x = 1,674.59

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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.