Home / 1,523.40-2,284.14-701.91

Finding the Fourth Proportional to 1,523.40, 2,284.14 and 701.91

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Solution

The fourth proportional to 1,523.40, 2,284.14 and 701.91 is: 1,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.40 : 2,284.14 = 701.91 : x
  2. Step 2: Convert to fraction form
    1,523.40/2,284.14 = 701.91/x
  3. Step 3: Cross multiply
    1,523.40x = 2,284.14 × 701.91
  4. Step 4: Simplify right side
    1,523.40x = 1,603,260.71
  5. Step 5: Solve for x
    x = 1,603,260.71/1,523.40
  6. Step 6: Final answer
    x = 1,052.42

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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.