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Finding the Fourth Proportional to 1,888.14, 2,826.96 and 1,424.52

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Solution

The fourth proportional to 1,888.14, 2,826.96 and 1,424.52 is: 2,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.14 : 2,826.96 = 1,424.52 : x
  2. Step 2: Convert to fraction form
    1,888.14/2,826.96 = 1,424.52/x
  3. Step 3: Cross multiply
    1,888.14x = 2,826.96 × 1,424.52
  4. Step 4: Simplify right side
    1,888.14x = 4,027,061.06
  5. Step 5: Solve for x
    x = 4,027,061.06/1,888.14
  6. Step 6: Final answer
    x = 2,132.82

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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.