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Finding the Fourth Proportional to 2,258.54, 3,386.56 and 698.10

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Solution

The fourth proportional to 2,258.54, 3,386.56 and 698.10 is: 1,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.54 : 3,386.56 = 698.10 : x
  2. Step 2: Convert to fraction form
    2,258.54/3,386.56 = 698.10/x
  3. Step 3: Cross multiply
    2,258.54x = 3,386.56 × 698.10
  4. Step 4: Simplify right side
    2,258.54x = 2,364,157.54
  5. Step 5: Solve for x
    x = 2,364,157.54/2,258.54
  6. Step 6: Final answer
    x = 1,046.76

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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.