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Finding the Fourth Proportional to 2,258.18, 3,386.39 and 777.12

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Solution

The fourth proportional to 2,258.18, 3,386.39 and 777.12 is: 1,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.18 : 3,386.39 = 777.12 : x
  2. Step 2: Convert to fraction form
    2,258.18/3,386.39 = 777.12/x
  3. Step 3: Cross multiply
    2,258.18x = 3,386.39 × 777.12
  4. Step 4: Simplify right side
    2,258.18x = 2,631,631.40
  5. Step 5: Solve for x
    x = 2,631,631.40/2,258.18
  6. Step 6: Final answer
    x = 1,165.38

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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.