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Finding the Fourth Proportional to 2,048.64, 3,071.72 and 748.58

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Solution

The fourth proportional to 2,048.64, 3,071.72 and 748.58 is: 1,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.64 : 3,071.72 = 748.58 : x
  2. Step 2: Convert to fraction form
    2,048.64/3,071.72 = 748.58/x
  3. Step 3: Cross multiply
    2,048.64x = 3,071.72 × 748.58
  4. Step 4: Simplify right side
    2,048.64x = 2,299,428.16
  5. Step 5: Solve for x
    x = 2,299,428.16/2,048.64
  6. Step 6: Final answer
    x = 1,122.42

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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.