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Finding the Fourth Proportional to 2,087.91, 3,130.88 and 1,210.66

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Solution

The fourth proportional to 2,087.91, 3,130.88 and 1,210.66 is: 1,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.91 : 3,130.88 = 1,210.66 : x
  2. Step 2: Convert to fraction form
    2,087.91/3,130.88 = 1,210.66/x
  3. Step 3: Cross multiply
    2,087.91x = 3,130.88 × 1,210.66
  4. Step 4: Simplify right side
    2,087.91x = 3,790,427.52
  5. Step 5: Solve for x
    x = 3,790,427.52/2,087.91
  6. Step 6: Final answer
    x = 1,815.42

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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.