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Finding the Fourth Proportional to 2,460.08, 3,687.96 and 922.16

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Solution

The fourth proportional to 2,460.08, 3,687.96 and 922.16 is: 1,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.08 : 3,687.96 = 922.16 : x
  2. Step 2: Convert to fraction form
    2,460.08/3,687.96 = 922.16/x
  3. Step 3: Cross multiply
    2,460.08x = 3,687.96 × 922.16
  4. Step 4: Simplify right side
    2,460.08x = 3,400,889.19
  5. Step 5: Solve for x
    x = 3,400,889.19/2,460.08
  6. Step 6: Final answer
    x = 1,382.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.