Home / 1,784.57-2,677.23-614.53

Finding the Fourth Proportional to 1,784.57, 2,677.23 and 614.53

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Solution

The fourth proportional to 1,784.57, 2,677.23 and 614.53 is: 921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.57 : 2,677.23 = 614.53 : x
  2. Step 2: Convert to fraction form
    1,784.57/2,677.23 = 614.53/x
  3. Step 3: Cross multiply
    1,784.57x = 2,677.23 × 614.53
  4. Step 4: Simplify right side
    1,784.57x = 1,645,231.46
  5. Step 5: Solve for x
    x = 1,645,231.46/1,784.57
  6. Step 6: Final answer
    x = 921.92

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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.