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Finding the Fourth Proportional to 2,152.29, 3,230.01 and 854.13

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Solution

The fourth proportional to 2,152.29, 3,230.01 and 854.13 is: 1,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.29 : 3,230.01 = 854.13 : x
  2. Step 2: Convert to fraction form
    2,152.29/3,230.01 = 854.13/x
  3. Step 3: Cross multiply
    2,152.29x = 3,230.01 × 854.13
  4. Step 4: Simplify right side
    2,152.29x = 2,758,848.44
  5. Step 5: Solve for x
    x = 2,758,848.44/2,152.29
  6. Step 6: Final answer
    x = 1,281.82

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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.