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Finding the Fourth Proportional to 1,422.42, 1,961.91 and 899.16

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Solution

The fourth proportional to 1,422.42, 1,961.91 and 899.16 is: 1,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.42 : 1,961.91 = 899.16 : x
  2. Step 2: Convert to fraction form
    1,422.42/1,961.91 = 899.16/x
  3. Step 3: Cross multiply
    1,422.42x = 1,961.91 × 899.16
  4. Step 4: Simplify right side
    1,422.42x = 1,764,071.00
  5. Step 5: Solve for x
    x = 1,764,071.00/1,422.42
  6. Step 6: Final answer
    x = 1,240.19

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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.