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Finding the Fourth Proportional to 1,802.19, 2,702.75 and 762.42

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Solution

The fourth proportional to 1,802.19, 2,702.75 and 762.42 is: 1,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.19 : 2,702.75 = 762.42 : x
  2. Step 2: Convert to fraction form
    1,802.19/2,702.75 = 762.42/x
  3. Step 3: Cross multiply
    1,802.19x = 2,702.75 × 762.42
  4. Step 4: Simplify right side
    1,802.19x = 2,060,630.66
  5. Step 5: Solve for x
    x = 2,060,630.66/1,802.19
  6. Step 6: Final answer
    x = 1,143.40

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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.