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Finding the Fourth Proportional to 1,802.53, 2,703.78 and 980.62

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Solution

The fourth proportional to 1,802.53, 2,703.78 and 980.62 is: 1,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.53 : 2,703.78 = 980.62 : x
  2. Step 2: Convert to fraction form
    1,802.53/2,703.78 = 980.62/x
  3. Step 3: Cross multiply
    1,802.53x = 2,703.78 × 980.62
  4. Step 4: Simplify right side
    1,802.53x = 2,651,380.74
  5. Step 5: Solve for x
    x = 2,651,380.74/1,802.53
  6. Step 6: Final answer
    x = 1,470.92

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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.