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Finding the Fourth Proportional to 2,267.58, 3,129.84 and 1,384.02

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Solution

The fourth proportional to 2,267.58, 3,129.84 and 1,384.02 is: 1,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.58 : 3,129.84 = 1,384.02 : x
  2. Step 2: Convert to fraction form
    2,267.58/3,129.84 = 1,384.02/x
  3. Step 3: Cross multiply
    2,267.58x = 3,129.84 × 1,384.02
  4. Step 4: Simplify right side
    2,267.58x = 4,331,761.16
  5. Step 5: Solve for x
    x = 4,331,761.16/2,267.58
  6. Step 6: Final answer
    x = 1,910.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.