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Finding the Fourth Proportional to 2,258.07, 3,386.69 and 777.39

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Solution

The fourth proportional to 2,258.07, 3,386.69 and 777.39 is: 1,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.07 : 3,386.69 = 777.39 : x
  2. Step 2: Convert to fraction form
    2,258.07/3,386.69 = 777.39/x
  3. Step 3: Cross multiply
    2,258.07x = 3,386.69 × 777.39
  4. Step 4: Simplify right side
    2,258.07x = 2,632,778.94
  5. Step 5: Solve for x
    x = 2,632,778.94/2,258.07
  6. Step 6: Final answer
    x = 1,165.94

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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.