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Finding the Fourth Proportional to 2,036.18, 3,052.92 and 802.82

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Solution

The fourth proportional to 2,036.18, 3,052.92 and 802.82 is: 1,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.18 : 3,052.92 = 802.82 : x
  2. Step 2: Convert to fraction form
    2,036.18/3,052.92 = 802.82/x
  3. Step 3: Cross multiply
    2,036.18x = 3,052.92 × 802.82
  4. Step 4: Simplify right side
    2,036.18x = 2,450,945.23
  5. Step 5: Solve for x
    x = 2,450,945.23/2,036.18
  6. Step 6: Final answer
    x = 1,203.70

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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.