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Finding the Fourth Proportional to 2,305.60, 3,457.78 and 844.76

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Solution

The fourth proportional to 2,305.60, 3,457.78 and 844.76 is: 1,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.60 : 3,457.78 = 844.76 : x
  2. Step 2: Convert to fraction form
    2,305.60/3,457.78 = 844.76/x
  3. Step 3: Cross multiply
    2,305.60x = 3,457.78 × 844.76
  4. Step 4: Simplify right side
    2,305.60x = 2,920,994.23
  5. Step 5: Solve for x
    x = 2,920,994.23/2,305.60
  6. Step 6: Final answer
    x = 1,266.91

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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.