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Finding the Fourth Proportional to 2,100.76, 3,151.61 and 802.24

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Solution

The fourth proportional to 2,100.76, 3,151.61 and 802.24 is: 1,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.76 : 3,151.61 = 802.24 : x
  2. Step 2: Convert to fraction form
    2,100.76/3,151.61 = 802.24/x
  3. Step 3: Cross multiply
    2,100.76x = 3,151.61 × 802.24
  4. Step 4: Simplify right side
    2,100.76x = 2,528,347.61
  5. Step 5: Solve for x
    x = 2,528,347.61/2,100.76
  6. Step 6: Final answer
    x = 1,203.54

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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.