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Finding the Fourth Proportional to 1,962.90, 2,937.47 and 1,342.44

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Solution

The fourth proportional to 1,962.90, 2,937.47 and 1,342.44 is: 2,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.90 : 2,937.47 = 1,342.44 : x
  2. Step 2: Convert to fraction form
    1,962.90/2,937.47 = 1,342.44/x
  3. Step 3: Cross multiply
    1,962.90x = 2,937.47 × 1,342.44
  4. Step 4: Simplify right side
    1,962.90x = 3,943,370.51
  5. Step 5: Solve for x
    x = 3,943,370.51/1,962.90
  6. Step 6: Final answer
    x = 2,008.95

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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.