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Finding the Fourth Proportional to 2,101.14, 3,152.31 and 802.71

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Solution

The fourth proportional to 2,101.14, 3,152.31 and 802.71 is: 1,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.14 : 3,152.31 = 802.71 : x
  2. Step 2: Convert to fraction form
    2,101.14/3,152.31 = 802.71/x
  3. Step 3: Cross multiply
    2,101.14x = 3,152.31 × 802.71
  4. Step 4: Simplify right side
    2,101.14x = 2,530,390.76
  5. Step 5: Solve for x
    x = 2,530,390.76/2,101.14
  6. Step 6: Final answer
    x = 1,204.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.