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Finding the Fourth Proportional to 1,662.64, 2,294.41 and 916.60

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Solution

The fourth proportional to 1,662.64, 2,294.41 and 916.60 is: 1,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.64 : 2,294.41 = 916.60 : x
  2. Step 2: Convert to fraction form
    1,662.64/2,294.41 = 916.60/x
  3. Step 3: Cross multiply
    1,662.64x = 2,294.41 × 916.60
  4. Step 4: Simplify right side
    1,662.64x = 2,103,056.21
  5. Step 5: Solve for x
    x = 2,103,056.21/1,662.64
  6. Step 6: Final answer
    x = 1,264.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.