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Finding the Fourth Proportional to 2,807.14, 4,211.16 and 1,247.68

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Solution

The fourth proportional to 2,807.14, 4,211.16 and 1,247.68 is: 1,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.14 : 4,211.16 = 1,247.68 : x
  2. Step 2: Convert to fraction form
    2,807.14/4,211.16 = 1,247.68/x
  3. Step 3: Cross multiply
    2,807.14x = 4,211.16 × 1,247.68
  4. Step 4: Simplify right side
    2,807.14x = 5,254,159.05
  5. Step 5: Solve for x
    x = 5,254,159.05/2,807.14
  6. Step 6: Final answer
    x = 1,871.72

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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.