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Finding the Fourth Proportional to 1,802.44, 2,701.86 and 1,072.36

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Solution

The fourth proportional to 1,802.44, 2,701.86 and 1,072.36 is: 1,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.44 : 2,701.86 = 1,072.36 : x
  2. Step 2: Convert to fraction form
    1,802.44/2,701.86 = 1,072.36/x
  3. Step 3: Cross multiply
    1,802.44x = 2,701.86 × 1,072.36
  4. Step 4: Simplify right side
    1,802.44x = 2,897,366.59
  5. Step 5: Solve for x
    x = 2,897,366.59/1,802.44
  6. Step 6: Final answer
    x = 1,607.47

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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.