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Finding the Fourth Proportional to 1,466.18, 2,023.04 and 994.16

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Solution

The fourth proportional to 1,466.18, 2,023.04 and 994.16 is: 1,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.18 : 2,023.04 = 994.16 : x
  2. Step 2: Convert to fraction form
    1,466.18/2,023.04 = 994.16/x
  3. Step 3: Cross multiply
    1,466.18x = 2,023.04 × 994.16
  4. Step 4: Simplify right side
    1,466.18x = 2,011,225.45
  5. Step 5: Solve for x
    x = 2,011,225.45/1,466.18
  6. Step 6: Final answer
    x = 1,371.75

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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.