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Finding the Fourth Proportional to 2,870.57, 4,305.87 and 790.61

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Solution

The fourth proportional to 2,870.57, 4,305.87 and 790.61 is: 1,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.57 : 4,305.87 = 790.61 : x
  2. Step 2: Convert to fraction form
    2,870.57/4,305.87 = 790.61/x
  3. Step 3: Cross multiply
    2,870.57x = 4,305.87 × 790.61
  4. Step 4: Simplify right side
    2,870.57x = 3,404,242.35
  5. Step 5: Solve for x
    x = 3,404,242.35/2,870.57
  6. Step 6: Final answer
    x = 1,185.91

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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.