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Finding the Fourth Proportional to 1,985.22, 2,736.18 and 1,424.16

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Solution

The fourth proportional to 1,985.22, 2,736.18 and 1,424.16 is: 1,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.22 : 2,736.18 = 1,424.16 : x
  2. Step 2: Convert to fraction form
    1,985.22/2,736.18 = 1,424.16/x
  3. Step 3: Cross multiply
    1,985.22x = 2,736.18 × 1,424.16
  4. Step 4: Simplify right side
    1,985.22x = 3,896,758.11
  5. Step 5: Solve for x
    x = 3,896,758.11/1,985.22
  6. Step 6: Final answer
    x = 1,962.88

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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.