Home / 1,577.71-2,177.33-914.56

Finding the Fourth Proportional to 1,577.71, 2,177.33 and 914.56

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Solution

The fourth proportional to 1,577.71, 2,177.33 and 914.56 is: 1,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.71 : 2,177.33 = 914.56 : x
  2. Step 2: Convert to fraction form
    1,577.71/2,177.33 = 914.56/x
  3. Step 3: Cross multiply
    1,577.71x = 2,177.33 × 914.56
  4. Step 4: Simplify right side
    1,577.71x = 1,991,294.05
  5. Step 5: Solve for x
    x = 1,991,294.05/1,577.71
  6. Step 6: Final answer
    x = 1,262.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.