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Finding the Fourth Proportional to 2,578.48, 3,867.70 and 630.67

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Solution

The fourth proportional to 2,578.48, 3,867.70 and 630.67 is: 946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.48 : 3,867.70 = 630.67 : x
  2. Step 2: Convert to fraction form
    2,578.48/3,867.70 = 630.67/x
  3. Step 3: Cross multiply
    2,578.48x = 3,867.70 × 630.67
  4. Step 4: Simplify right side
    2,578.48x = 2,439,242.36
  5. Step 5: Solve for x
    x = 2,439,242.36/2,578.48
  6. Step 6: Final answer
    x = 946.00

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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.