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Finding the Fourth Proportional to 2,101.44, 3,134.16 and 1,859.52

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Solution

The fourth proportional to 2,101.44, 3,134.16 and 1,859.52 is: 2,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.44 : 3,134.16 = 1,859.52 : x
  2. Step 2: Convert to fraction form
    2,101.44/3,134.16 = 1,859.52/x
  3. Step 3: Cross multiply
    2,101.44x = 3,134.16 × 1,859.52
  4. Step 4: Simplify right side
    2,101.44x = 5,828,033.20
  5. Step 5: Solve for x
    x = 5,828,033.20/2,101.44
  6. Step 6: Final answer
    x = 2,773.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.