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Finding the Fourth Proportional to 1,848.72, 2,551.12 and 1,009.25

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Solution

The fourth proportional to 1,848.72, 2,551.12 and 1,009.25 is: 1,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.72 : 2,551.12 = 1,009.25 : x
  2. Step 2: Convert to fraction form
    1,848.72/2,551.12 = 1,009.25/x
  3. Step 3: Cross multiply
    1,848.72x = 2,551.12 × 1,009.25
  4. Step 4: Simplify right side
    1,848.72x = 2,574,732.18
  5. Step 5: Solve for x
    x = 2,574,732.18/1,848.72
  6. Step 6: Final answer
    x = 1,392.71

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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.