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Finding the Fourth Proportional to 2,310.02, 3,463.64 and 974.23

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Solution

The fourth proportional to 2,310.02, 3,463.64 and 974.23 is: 1,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.02 : 3,463.64 = 974.23 : x
  2. Step 2: Convert to fraction form
    2,310.02/3,463.64 = 974.23/x
  3. Step 3: Cross multiply
    2,310.02x = 3,463.64 × 974.23
  4. Step 4: Simplify right side
    2,310.02x = 3,374,371.11
  5. Step 5: Solve for x
    x = 3,374,371.11/2,310.02
  6. Step 6: Final answer
    x = 1,460.75

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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.