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Finding the Fourth Proportional to 2,802.16, 4,202.74 and 1,046.77

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Solution

The fourth proportional to 2,802.16, 4,202.74 and 1,046.77 is: 1,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.16 : 4,202.74 = 1,046.77 : x
  2. Step 2: Convert to fraction form
    2,802.16/4,202.74 = 1,046.77/x
  3. Step 3: Cross multiply
    2,802.16x = 4,202.74 × 1,046.77
  4. Step 4: Simplify right side
    2,802.16x = 4,399,302.15
  5. Step 5: Solve for x
    x = 4,399,302.15/2,802.16
  6. Step 6: Final answer
    x = 1,569.97

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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.