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Finding the Fourth Proportional to 1,647.64, 2,272.75 and 1,088.11

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Solution

The fourth proportional to 1,647.64, 2,272.75 and 1,088.11 is: 1,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.64 : 2,272.75 = 1,088.11 : x
  2. Step 2: Convert to fraction form
    1,647.64/2,272.75 = 1,088.11/x
  3. Step 3: Cross multiply
    1,647.64x = 2,272.75 × 1,088.11
  4. Step 4: Simplify right side
    1,647.64x = 2,473,002.00
  5. Step 5: Solve for x
    x = 2,473,002.00/1,647.64
  6. Step 6: Final answer
    x = 1,500.94

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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.