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Finding the Fourth Proportional to 2,088.02, 3,132.94 and 855.71

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Solution

The fourth proportional to 2,088.02, 3,132.94 and 855.71 is: 1,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.02 : 3,132.94 = 855.71 : x
  2. Step 2: Convert to fraction form
    2,088.02/3,132.94 = 855.71/x
  3. Step 3: Cross multiply
    2,088.02x = 3,132.94 × 855.71
  4. Step 4: Simplify right side
    2,088.02x = 2,680,870.28
  5. Step 5: Solve for x
    x = 2,680,870.28/2,088.02
  6. Step 6: Final answer
    x = 1,283.93

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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.