Home / 1,442.04-2,162.88-980.64

Finding the Fourth Proportional to 1,442.04, 2,162.88 and 980.64

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Solution

The fourth proportional to 1,442.04, 2,162.88 and 980.64 is: 1,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.04 : 2,162.88 = 980.64 : x
  2. Step 2: Convert to fraction form
    1,442.04/2,162.88 = 980.64/x
  3. Step 3: Cross multiply
    1,442.04x = 2,162.88 × 980.64
  4. Step 4: Simplify right side
    1,442.04x = 2,121,006.64
  5. Step 5: Solve for x
    x = 2,121,006.64/1,442.04
  6. Step 6: Final answer
    x = 1,470.84

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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.