Home / 1,948.52-2,914.14-1,456.04

Finding the Fourth Proportional to 1,948.52, 2,914.14 and 1,456.04

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Solution

The fourth proportional to 1,948.52, 2,914.14 and 1,456.04 is: 2,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.52 : 2,914.14 = 1,456.04 : x
  2. Step 2: Convert to fraction form
    1,948.52/2,914.14 = 1,456.04/x
  3. Step 3: Cross multiply
    1,948.52x = 2,914.14 × 1,456.04
  4. Step 4: Simplify right side
    1,948.52x = 4,243,104.41
  5. Step 5: Solve for x
    x = 4,243,104.41/1,948.52
  6. Step 6: Final answer
    x = 2,177.60

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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.