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Finding the Fourth Proportional to 2,981.35, 4,471.72 and 790.30

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Solution

The fourth proportional to 2,981.35, 4,471.72 and 790.30 is: 1,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.35 : 4,471.72 = 790.30 : x
  2. Step 2: Convert to fraction form
    2,981.35/4,471.72 = 790.30/x
  3. Step 3: Cross multiply
    2,981.35x = 4,471.72 × 790.30
  4. Step 4: Simplify right side
    2,981.35x = 3,533,987.16
  5. Step 5: Solve for x
    x = 3,533,987.16/2,981.35
  6. Step 6: Final answer
    x = 1,185.37

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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.