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Finding the Fourth Proportional to 1,532.78, 2,114.05 and 1,034.63

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Solution

The fourth proportional to 1,532.78, 2,114.05 and 1,034.63 is: 1,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.78 : 2,114.05 = 1,034.63 : x
  2. Step 2: Convert to fraction form
    1,532.78/2,114.05 = 1,034.63/x
  3. Step 3: Cross multiply
    1,532.78x = 2,114.05 × 1,034.63
  4. Step 4: Simplify right side
    1,532.78x = 2,187,259.55
  5. Step 5: Solve for x
    x = 2,187,259.55/1,532.78
  6. Step 6: Final answer
    x = 1,426.99

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Why These Related Problems?

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