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Finding the Fourth Proportional to 1,848.47, 2,772.52 and 615.75

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Solution

The fourth proportional to 1,848.47, 2,772.52 and 615.75 is: 923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.47 : 2,772.52 = 615.75 : x
  2. Step 2: Convert to fraction form
    1,848.47/2,772.52 = 615.75/x
  3. Step 3: Cross multiply
    1,848.47x = 2,772.52 × 615.75
  4. Step 4: Simplify right side
    1,848.47x = 1,707,179.19
  5. Step 5: Solve for x
    x = 1,707,179.19/1,848.47
  6. Step 6: Final answer
    x = 923.56

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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.