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Finding the Fourth Proportional to 3,480.54, 4,802.88 and 1,988.40

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Solution

The fourth proportional to 3,480.54, 4,802.88 and 1,988.40 is: 2,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.54 : 4,802.88 = 1,988.40 : x
  2. Step 2: Convert to fraction form
    3,480.54/4,802.88 = 1,988.40/x
  3. Step 3: Cross multiply
    3,480.54x = 4,802.88 × 1,988.40
  4. Step 4: Simplify right side
    3,480.54x = 9,550,046.59
  5. Step 5: Solve for x
    x = 9,550,046.59/3,480.54
  6. Step 6: Final answer
    x = 2,743.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.