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Finding the Fourth Proportional to 2,574.54, 3,860.49 and 1,258.36

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Solution

The fourth proportional to 2,574.54, 3,860.49 and 1,258.36 is: 1,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.54 : 3,860.49 = 1,258.36 : x
  2. Step 2: Convert to fraction form
    2,574.54/3,860.49 = 1,258.36/x
  3. Step 3: Cross multiply
    2,574.54x = 3,860.49 × 1,258.36
  4. Step 4: Simplify right side
    2,574.54x = 4,857,886.20
  5. Step 5: Solve for x
    x = 4,857,886.20/2,574.54
  6. Step 6: Final answer
    x = 1,886.89

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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.