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Finding the Fourth Proportional to 2,088.52, 3,131.90 and 1,048.12

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Solution

The fourth proportional to 2,088.52, 3,131.90 and 1,048.12 is: 1,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.52 : 3,131.90 = 1,048.12 : x
  2. Step 2: Convert to fraction form
    2,088.52/3,131.90 = 1,048.12/x
  3. Step 3: Cross multiply
    2,088.52x = 3,131.90 × 1,048.12
  4. Step 4: Simplify right side
    2,088.52x = 3,282,607.03
  5. Step 5: Solve for x
    x = 3,282,607.03/2,088.52
  6. Step 6: Final answer
    x = 1,571.74

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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.