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Finding the Fourth Proportional to 1,662.42, 2,294.12 and 916.46

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Solution

The fourth proportional to 1,662.42, 2,294.12 and 916.46 is: 1,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.42 : 2,294.12 = 916.46 : x
  2. Step 2: Convert to fraction form
    1,662.42/2,294.12 = 916.46/x
  3. Step 3: Cross multiply
    1,662.42x = 2,294.12 × 916.46
  4. Step 4: Simplify right side
    1,662.42x = 2,102,453.16
  5. Step 5: Solve for x
    x = 2,102,453.16/1,662.42
  6. Step 6: Final answer
    x = 1,264.69

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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.