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Finding the Fourth Proportional to 2,802.16, 3,865.62 and 2,176.84

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Solution

The fourth proportional to 2,802.16, 3,865.62 and 2,176.84 is: 3,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.16 : 3,865.62 = 2,176.84 : x
  2. Step 2: Convert to fraction form
    2,802.16/3,865.62 = 2,176.84/x
  3. Step 3: Cross multiply
    2,802.16x = 3,865.62 × 2,176.84
  4. Step 4: Simplify right side
    2,802.16x = 8,414,836.24
  5. Step 5: Solve for x
    x = 8,414,836.24/2,802.16
  6. Step 6: Final answer
    x = 3,002.98

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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.