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Finding the Fourth Proportional to 1,848.54, 2,551.56 and 1,258.98

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Solution

The fourth proportional to 1,848.54, 2,551.56 and 1,258.98 is: 1,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.54 : 2,551.56 = 1,258.98 : x
  2. Step 2: Convert to fraction form
    1,848.54/2,551.56 = 1,258.98/x
  3. Step 3: Cross multiply
    1,848.54x = 2,551.56 × 1,258.98
  4. Step 4: Simplify right side
    1,848.54x = 3,212,363.01
  5. Step 5: Solve for x
    x = 3,212,363.01/1,848.54
  6. Step 6: Final answer
    x = 1,737.78

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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.