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Finding the Fourth Proportional to 1,928.48, 2,665.52 and 1,534.88

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Solution

The fourth proportional to 1,928.48, 2,665.52 and 1,534.88 is: 2,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.48 : 2,665.52 = 1,534.88 : x
  2. Step 2: Convert to fraction form
    1,928.48/2,665.52 = 1,534.88/x
  3. Step 3: Cross multiply
    1,928.48x = 2,665.52 × 1,534.88
  4. Step 4: Simplify right side
    1,928.48x = 4,091,253.34
  5. Step 5: Solve for x
    x = 4,091,253.34/1,928.48
  6. Step 6: Final answer
    x = 2,121.49

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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.