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Finding the Fourth Proportional to 2,366.89, 3,266.02 and 1,358.54

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Solution

The fourth proportional to 2,366.89, 3,266.02 and 1,358.54 is: 1,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.89 : 3,266.02 = 1,358.54 : x
  2. Step 2: Convert to fraction form
    2,366.89/3,266.02 = 1,358.54/x
  3. Step 3: Cross multiply
    2,366.89x = 3,266.02 × 1,358.54
  4. Step 4: Simplify right side
    2,366.89x = 4,437,018.81
  5. Step 5: Solve for x
    x = 4,437,018.81/2,366.89
  6. Step 6: Final answer
    x = 1,874.62

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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.