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Finding the Fourth Proportional to 2,289.67, 3,156.80 and 2,258.69

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Solution

The fourth proportional to 2,289.67, 3,156.80 and 2,258.69 is: 3,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.67 : 3,156.80 = 2,258.69 : x
  2. Step 2: Convert to fraction form
    2,289.67/3,156.80 = 2,258.69/x
  3. Step 3: Cross multiply
    2,289.67x = 3,156.80 × 2,258.69
  4. Step 4: Simplify right side
    2,289.67x = 7,130,211.87
  5. Step 5: Solve for x
    x = 7,130,211.87/2,289.67
  6. Step 6: Final answer
    x = 3,114.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.