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Finding the Fourth Proportional to 2,154.16, 3,230.40 and 2,016.48

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Solution

The fourth proportional to 2,154.16, 3,230.40 and 2,016.48 is: 3,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.16 : 3,230.40 = 2,016.48 : x
  2. Step 2: Convert to fraction form
    2,154.16/3,230.40 = 2,016.48/x
  3. Step 3: Cross multiply
    2,154.16x = 3,230.40 × 2,016.48
  4. Step 4: Simplify right side
    2,154.16x = 6,514,036.99
  5. Step 5: Solve for x
    x = 6,514,036.99/2,154.16
  6. Step 6: Final answer
    x = 3,023.93

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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.