Home / 1,713.34-2,565.15-1,164.70

Finding the Fourth Proportional to 1,713.34, 2,565.15 and 1,164.70

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Solution

The fourth proportional to 1,713.34, 2,565.15 and 1,164.70 is: 1,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.34 : 2,565.15 = 1,164.70 : x
  2. Step 2: Convert to fraction form
    1,713.34/2,565.15 = 1,164.70/x
  3. Step 3: Cross multiply
    1,713.34x = 2,565.15 × 1,164.70
  4. Step 4: Simplify right side
    1,713.34x = 2,987,630.21
  5. Step 5: Solve for x
    x = 2,987,630.21/1,713.34
  6. Step 6: Final answer
    x = 1,743.75

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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.