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Finding the Fourth Proportional to 2,446.02, 3,669.04 and 985.30

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Solution

The fourth proportional to 2,446.02, 3,669.04 and 985.30 is: 1,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.02 : 3,669.04 = 985.30 : x
  2. Step 2: Convert to fraction form
    2,446.02/3,669.04 = 985.30/x
  3. Step 3: Cross multiply
    2,446.02x = 3,669.04 × 985.30
  4. Step 4: Simplify right side
    2,446.02x = 3,615,105.11
  5. Step 5: Solve for x
    x = 3,615,105.11/2,446.02
  6. Step 6: Final answer
    x = 1,477.95

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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.