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Finding the Fourth Proportional to 1,532.51, 2,112.41 and 1,034.99

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Solution

The fourth proportional to 1,532.51, 2,112.41 and 1,034.99 is: 1,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.51 : 2,112.41 = 1,034.99 : x
  2. Step 2: Convert to fraction form
    1,532.51/2,112.41 = 1,034.99/x
  3. Step 3: Cross multiply
    1,532.51x = 2,112.41 × 1,034.99
  4. Step 4: Simplify right side
    1,532.51x = 2,186,318.05
  5. Step 5: Solve for x
    x = 2,186,318.05/1,532.51
  6. Step 6: Final answer
    x = 1,426.63

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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.