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Finding the Fourth Proportional to 2,088.10, 3,131.52 and 627.40

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Solution

The fourth proportional to 2,088.10, 3,131.52 and 627.40 is: 940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.10 : 3,131.52 = 627.40 : x
  2. Step 2: Convert to fraction form
    2,088.10/3,131.52 = 627.40/x
  3. Step 3: Cross multiply
    2,088.10x = 3,131.52 × 627.40
  4. Step 4: Simplify right side
    2,088.10x = 1,964,715.65
  5. Step 5: Solve for x
    x = 1,964,715.65/2,088.10
  6. Step 6: Final answer
    x = 940.91

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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.