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Finding the Fourth Proportional to 2,607.82, 3,894.67 and 2,088.61

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Solution

The fourth proportional to 2,607.82, 3,894.67 and 2,088.61 is: 3,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.82 : 3,894.67 = 2,088.61 : x
  2. Step 2: Convert to fraction form
    2,607.82/3,894.67 = 2,088.61/x
  3. Step 3: Cross multiply
    2,607.82x = 3,894.67 × 2,088.61
  4. Step 4: Simplify right side
    2,607.82x = 8,134,446.71
  5. Step 5: Solve for x
    x = 8,134,446.71/2,607.82
  6. Step 6: Final answer
    x = 3,119.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.