Home / 1,677.20-2,314.53-931.14

Finding the Fourth Proportional to 1,677.20, 2,314.53 and 931.14

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Solution

The fourth proportional to 1,677.20, 2,314.53 and 931.14 is: 1,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.20 : 2,314.53 = 931.14 : x
  2. Step 2: Convert to fraction form
    1,677.20/2,314.53 = 931.14/x
  3. Step 3: Cross multiply
    1,677.20x = 2,314.53 × 931.14
  4. Step 4: Simplify right side
    1,677.20x = 2,155,151.46
  5. Step 5: Solve for x
    x = 2,155,151.46/1,677.20
  6. Step 6: Final answer
    x = 1,284.97

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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.