Home / 1,524.96-2,284.38-702.12

Finding the Fourth Proportional to 1,524.96, 2,284.38 and 702.12

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Solution

The fourth proportional to 1,524.96, 2,284.38 and 702.12 is: 1,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.96 : 2,284.38 = 702.12 : x
  2. Step 2: Convert to fraction form
    1,524.96/2,284.38 = 702.12/x
  3. Step 3: Cross multiply
    1,524.96x = 2,284.38 × 702.12
  4. Step 4: Simplify right side
    1,524.96x = 1,603,908.89
  5. Step 5: Solve for x
    x = 1,603,908.89/1,524.96
  6. Step 6: Final answer
    x = 1,051.77

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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.