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Finding the Fourth Proportional to 2,848.52, 3,930.54 and 1,589.42

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Solution

The fourth proportional to 2,848.52, 3,930.54 and 1,589.42 is: 2,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.52 : 3,930.54 = 1,589.42 : x
  2. Step 2: Convert to fraction form
    2,848.52/3,930.54 = 1,589.42/x
  3. Step 3: Cross multiply
    2,848.52x = 3,930.54 × 1,589.42
  4. Step 4: Simplify right side
    2,848.52x = 6,247,259.23
  5. Step 5: Solve for x
    x = 6,247,259.23/2,848.52
  6. Step 6: Final answer
    x = 2,193.16

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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.