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Finding the Fourth Proportional to 2,258.51, 3,386.81 and 797.00

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Solution

The fourth proportional to 2,258.51, 3,386.81 and 797.00 is: 1,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.51 : 3,386.81 = 797.00 : x
  2. Step 2: Convert to fraction form
    2,258.51/3,386.81 = 797.00/x
  3. Step 3: Cross multiply
    2,258.51x = 3,386.81 × 797.00
  4. Step 4: Simplify right side
    2,258.51x = 2,699,272.63
  5. Step 5: Solve for x
    x = 2,699,272.63/2,258.51
  6. Step 6: Final answer
    x = 1,195.16

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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.