Home / 1,577.48-2,177.16-914.78

Finding the Fourth Proportional to 1,577.48, 2,177.16 and 914.78

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Solution

The fourth proportional to 1,577.48, 2,177.16 and 914.78 is: 1,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.48 : 2,177.16 = 914.78 : x
  2. Step 2: Convert to fraction form
    1,577.48/2,177.16 = 914.78/x
  3. Step 3: Cross multiply
    1,577.48x = 2,177.16 × 914.78
  4. Step 4: Simplify right side
    1,577.48x = 1,991,622.42
  5. Step 5: Solve for x
    x = 1,991,622.42/1,577.48
  6. Step 6: Final answer
    x = 1,262.53

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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.