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Finding the Fourth Proportional to 2,258.57, 3,386.54 and 698.15

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Solution

The fourth proportional to 2,258.57, 3,386.54 and 698.15 is: 1,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.57 : 3,386.54 = 698.15 : x
  2. Step 2: Convert to fraction form
    2,258.57/3,386.54 = 698.15/x
  3. Step 3: Cross multiply
    2,258.57x = 3,386.54 × 698.15
  4. Step 4: Simplify right side
    2,258.57x = 2,364,323.11
  5. Step 5: Solve for x
    x = 2,364,323.11/2,258.57
  6. Step 6: Final answer
    x = 1,046.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.