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Finding the Fourth Proportional to 1,701.67, 2,342.89 and 1,406.47

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Solution

The fourth proportional to 1,701.67, 2,342.89 and 1,406.47 is: 1,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.67 : 2,342.89 = 1,406.47 : x
  2. Step 2: Convert to fraction form
    1,701.67/2,342.89 = 1,406.47/x
  3. Step 3: Cross multiply
    1,701.67x = 2,342.89 × 1,406.47
  4. Step 4: Simplify right side
    1,701.67x = 3,295,204.50
  5. Step 5: Solve for x
    x = 3,295,204.50/1,701.67
  6. Step 6: Final answer
    x = 1,936.45

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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.