Home / 2,442.38-3,664-1,456.02

Finding the Fourth Proportional to 2,442.38, 3,664 and 1,456.02

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Solution

The fourth proportional to 2,442.38, 3,664 and 1,456.02 is: 2,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.38 : 3,664 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    2,442.38/3,664 = 1,456.02/x
  3. Step 3: Cross multiply
    2,442.38x = 3,664 × 1,456.02
  4. Step 4: Simplify right side
    2,442.38x = 5,334,857.28
  5. Step 5: Solve for x
    x = 5,334,857.28/2,442.38
  6. Step 6: Final answer
    x = 2,184.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.