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Finding the Fourth Proportional to 1,342.65, 1,851.75 and 844.41

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Solution

The fourth proportional to 1,342.65, 1,851.75 and 844.41 is: 1,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.65 : 1,851.75 = 844.41 : x
  2. Step 2: Convert to fraction form
    1,342.65/1,851.75 = 844.41/x
  3. Step 3: Cross multiply
    1,342.65x = 1,851.75 × 844.41
  4. Step 4: Simplify right side
    1,342.65x = 1,563,636.22
  5. Step 5: Solve for x
    x = 1,563,636.22/1,342.65
  6. Step 6: Final answer
    x = 1,164.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.