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Finding the Fourth Proportional to 2,307.04, 3,457.44 and 844.80

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Solution

The fourth proportional to 2,307.04, 3,457.44 and 844.80 is: 1,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.04 : 3,457.44 = 844.80 : x
  2. Step 2: Convert to fraction form
    2,307.04/3,457.44 = 844.80/x
  3. Step 3: Cross multiply
    2,307.04x = 3,457.44 × 844.80
  4. Step 4: Simplify right side
    2,307.04x = 2,920,845.31
  5. Step 5: Solve for x
    x = 2,920,845.31/2,307.04
  6. Step 6: Final answer
    x = 1,266.06

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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.