Home / 1,470.30-2,204.77-854.18

Finding the Fourth Proportional to 1,470.30, 2,204.77 and 854.18

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Solution

The fourth proportional to 1,470.30, 2,204.77 and 854.18 is: 1,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.30 : 2,204.77 = 854.18 : x
  2. Step 2: Convert to fraction form
    1,470.30/2,204.77 = 854.18/x
  3. Step 3: Cross multiply
    1,470.30x = 2,204.77 × 854.18
  4. Step 4: Simplify right side
    1,470.30x = 1,883,276.45
  5. Step 5: Solve for x
    x = 1,883,276.45/1,470.30
  6. Step 6: Final answer
    x = 1,280.88

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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.