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Finding the Fourth Proportional to 1,872.91, 2,584.07 and 1,210.15

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Solution

The fourth proportional to 1,872.91, 2,584.07 and 1,210.15 is: 1,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.91 : 2,584.07 = 1,210.15 : x
  2. Step 2: Convert to fraction form
    1,872.91/2,584.07 = 1,210.15/x
  3. Step 3: Cross multiply
    1,872.91x = 2,584.07 × 1,210.15
  4. Step 4: Simplify right side
    1,872.91x = 3,127,099.39
  5. Step 5: Solve for x
    x = 3,127,099.39/1,872.91
  6. Step 6: Final answer
    x = 1,669.65

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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.