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Finding the Fourth Proportional to 2,749.80, 4,124.73 and 802.02

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Solution

The fourth proportional to 2,749.80, 4,124.73 and 802.02 is: 1,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.80 : 4,124.73 = 802.02 : x
  2. Step 2: Convert to fraction form
    2,749.80/4,124.73 = 802.02/x
  3. Step 3: Cross multiply
    2,749.80x = 4,124.73 × 802.02
  4. Step 4: Simplify right side
    2,749.80x = 3,308,115.95
  5. Step 5: Solve for x
    x = 3,308,115.95/2,749.80
  6. Step 6: Final answer
    x = 1,203.04

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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.