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Finding the Fourth Proportional to 2,750.10, 4,125.30 and 802.46

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Solution

The fourth proportional to 2,750.10, 4,125.30 and 802.46 is: 1,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.10 : 4,125.30 = 802.46 : x
  2. Step 2: Convert to fraction form
    2,750.10/4,125.30 = 802.46/x
  3. Step 3: Cross multiply
    2,750.10x = 4,125.30 × 802.46
  4. Step 4: Simplify right side
    2,750.10x = 3,310,388.24
  5. Step 5: Solve for x
    x = 3,310,388.24/2,750.10
  6. Step 6: Final answer
    x = 1,203.73

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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.