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Finding the Fourth Proportional to 1,422.93, 1,962.18 and 974.33

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Solution

The fourth proportional to 1,422.93, 1,962.18 and 974.33 is: 1,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.93 : 1,962.18 = 974.33 : x
  2. Step 2: Convert to fraction form
    1,422.93/1,962.18 = 974.33/x
  3. Step 3: Cross multiply
    1,422.93x = 1,962.18 × 974.33
  4. Step 4: Simplify right side
    1,422.93x = 1,911,801.03
  5. Step 5: Solve for x
    x = 1,911,801.03/1,422.93
  6. Step 6: Final answer
    x = 1,343.57

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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.