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Finding the Fourth Proportional to 2,101.40, 3,151.92 and 802.88

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Solution

The fourth proportional to 2,101.40, 3,151.92 and 802.88 is: 1,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.40 : 3,151.92 = 802.88 : x
  2. Step 2: Convert to fraction form
    2,101.40/3,151.92 = 802.88/x
  3. Step 3: Cross multiply
    2,101.40x = 3,151.92 × 802.88
  4. Step 4: Simplify right side
    2,101.40x = 2,530,613.53
  5. Step 5: Solve for x
    x = 2,530,613.53/2,101.40
  6. Step 6: Final answer
    x = 1,204.25

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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.