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Finding the Fourth Proportional to 2,084.08, 3,126.45 and 785.65

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Solution

The fourth proportional to 2,084.08, 3,126.45 and 785.65 is: 1,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.08 : 3,126.45 = 785.65 : x
  2. Step 2: Convert to fraction form
    2,084.08/3,126.45 = 785.65/x
  3. Step 3: Cross multiply
    2,084.08x = 3,126.45 × 785.65
  4. Step 4: Simplify right side
    2,084.08x = 2,456,279.81
  5. Step 5: Solve for x
    x = 2,456,279.81/2,084.08
  6. Step 6: Final answer
    x = 1,178.59

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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.