Home / 1,702.24-2,349.52-1,003.84

Finding the Fourth Proportional to 1,702.24, 2,349.52 and 1,003.84

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Solution

The fourth proportional to 1,702.24, 2,349.52 and 1,003.84 is: 1,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.24 : 2,349.52 = 1,003.84 : x
  2. Step 2: Convert to fraction form
    1,702.24/2,349.52 = 1,003.84/x
  3. Step 3: Cross multiply
    1,702.24x = 2,349.52 × 1,003.84
  4. Step 4: Simplify right side
    1,702.24x = 2,358,542.16
  5. Step 5: Solve for x
    x = 2,358,542.16/1,702.24
  6. Step 6: Final answer
    x = 1,385.55

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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.