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Finding the Fourth Proportional to 3,492, 4,818.96 and 1,920.24

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Solution

The fourth proportional to 3,492, 4,818.96 and 1,920.24 is: 2,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492 : 4,818.96 = 1,920.24 : x
  2. Step 2: Convert to fraction form
    3,492/4,818.96 = 1,920.24/x
  3. Step 3: Cross multiply
    3,492x = 4,818.96 × 1,920.24
  4. Step 4: Simplify right side
    3,492x = 9,253,559.75
  5. Step 5: Solve for x
    x = 9,253,559.75/3,492
  6. Step 6: Final answer
    x = 2,649.93

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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.