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Finding the Fourth Proportional to 1,532.01, 2,111.72 and 1,034.49

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Solution

The fourth proportional to 1,532.01, 2,111.72 and 1,034.49 is: 1,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.01 : 2,111.72 = 1,034.49 : x
  2. Step 2: Convert to fraction form
    1,532.01/2,111.72 = 1,034.49/x
  3. Step 3: Cross multiply
    1,532.01x = 2,111.72 × 1,034.49
  4. Step 4: Simplify right side
    1,532.01x = 2,184,548.05
  5. Step 5: Solve for x
    x = 2,184,548.05/1,532.01
  6. Step 6: Final answer
    x = 1,425.94

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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.