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Finding the Fourth Proportional to 2,851.57, 4,277.32 and 903.78

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Solution

The fourth proportional to 2,851.57, 4,277.32 and 903.78 is: 1,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.57 : 4,277.32 = 903.78 : x
  2. Step 2: Convert to fraction form
    2,851.57/4,277.32 = 903.78/x
  3. Step 3: Cross multiply
    2,851.57x = 4,277.32 × 903.78
  4. Step 4: Simplify right side
    2,851.57x = 3,865,754.01
  5. Step 5: Solve for x
    x = 3,865,754.01/2,851.57
  6. Step 6: Final answer
    x = 1,355.66

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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.