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Finding the Fourth Proportional to 1,532.70, 2,115.10 and 834.07

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Solution

The fourth proportional to 1,532.70, 2,115.10 and 834.07 is: 1,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.70 : 2,115.10 = 834.07 : x
  2. Step 2: Convert to fraction form
    1,532.70/2,115.10 = 834.07/x
  3. Step 3: Cross multiply
    1,532.70x = 2,115.10 × 834.07
  4. Step 4: Simplify right side
    1,532.70x = 1,764,141.46
  5. Step 5: Solve for x
    x = 1,764,141.46/1,532.70
  6. Step 6: Final answer
    x = 1,151.00

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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.