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Finding the Fourth Proportional to 1,358.30, 2,034.83 and 810.92

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Solution

The fourth proportional to 1,358.30, 2,034.83 and 810.92 is: 1,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.30 : 2,034.83 = 810.92 : x
  2. Step 2: Convert to fraction form
    1,358.30/2,034.83 = 810.92/x
  3. Step 3: Cross multiply
    1,358.30x = 2,034.83 × 810.92
  4. Step 4: Simplify right side
    1,358.30x = 1,650,084.34
  5. Step 5: Solve for x
    x = 1,650,084.34/1,358.30
  6. Step 6: Final answer
    x = 1,214.82

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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.