Home / 1,677.56-2,314.25-1,283.90

Finding the Fourth Proportional to 1,677.56, 2,314.25 and 1,283.90

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Solution

The fourth proportional to 1,677.56, 2,314.25 and 1,283.90 is: 1,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.56 : 2,314.25 = 1,283.90 : x
  2. Step 2: Convert to fraction form
    1,677.56/2,314.25 = 1,283.90/x
  3. Step 3: Cross multiply
    1,677.56x = 2,314.25 × 1,283.90
  4. Step 4: Simplify right side
    1,677.56x = 2,971,265.58
  5. Step 5: Solve for x
    x = 2,971,265.58/1,677.56
  6. Step 6: Final answer
    x = 1,771.18

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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.