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Finding the Fourth Proportional to 1,662.37, 2,294.10 and 916.38

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Solution

The fourth proportional to 1,662.37, 2,294.10 and 916.38 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.37 : 2,294.10 = 916.38 : x
  2. Step 2: Convert to fraction form
    1,662.37/2,294.10 = 916.38/x
  3. Step 3: Cross multiply
    1,662.37x = 2,294.10 × 916.38
  4. Step 4: Simplify right side
    1,662.37x = 2,102,267.36
  5. Step 5: Solve for x
    x = 2,102,267.36/1,662.37
  6. Step 6: Final answer
    x = 1,264.62

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1.5x scale

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.