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Finding the Fourth Proportional to 1,870.72, 2,580.85 and 1,084.61

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Solution

The fourth proportional to 1,870.72, 2,580.85 and 1,084.61 is: 1,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.72 : 2,580.85 = 1,084.61 : x
  2. Step 2: Convert to fraction form
    1,870.72/2,580.85 = 1,084.61/x
  3. Step 3: Cross multiply
    1,870.72x = 2,580.85 × 1,084.61
  4. Step 4: Simplify right side
    1,870.72x = 2,799,215.72
  5. Step 5: Solve for x
    x = 2,799,215.72/1,870.72
  6. Step 6: Final answer
    x = 1,496.33

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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.