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Finding the Fourth Proportional to 2,088.74, 3,132.88 and 1,266.78

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Solution

The fourth proportional to 2,088.74, 3,132.88 and 1,266.78 is: 1,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.74 : 3,132.88 = 1,266.78 : x
  2. Step 2: Convert to fraction form
    2,088.74/3,132.88 = 1,266.78/x
  3. Step 3: Cross multiply
    2,088.74x = 3,132.88 × 1,266.78
  4. Step 4: Simplify right side
    2,088.74x = 3,968,669.73
  5. Step 5: Solve for x
    x = 3,968,669.73/2,088.74
  6. Step 6: Final answer
    x = 1,900.03

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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.