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Finding the Fourth Proportional to 1,819.32, 2,510.70 and 1,022.66

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Solution

The fourth proportional to 1,819.32, 2,510.70 and 1,022.66 is: 1,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.32 : 2,510.70 = 1,022.66 : x
  2. Step 2: Convert to fraction form
    1,819.32/2,510.70 = 1,022.66/x
  3. Step 3: Cross multiply
    1,819.32x = 2,510.70 × 1,022.66
  4. Step 4: Simplify right side
    1,819.32x = 2,567,592.46
  5. Step 5: Solve for x
    x = 2,567,592.46/1,819.32
  6. Step 6: Final answer
    x = 1,411.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.