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Finding the Fourth Proportional to 2,328.46, 3,476.02 and 2,247.46

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Solution

The fourth proportional to 2,328.46, 3,476.02 and 2,247.46 is: 3,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.46 : 3,476.02 = 2,247.46 : x
  2. Step 2: Convert to fraction form
    2,328.46/3,476.02 = 2,247.46/x
  3. Step 3: Cross multiply
    2,328.46x = 3,476.02 × 2,247.46
  4. Step 4: Simplify right side
    2,328.46x = 7,812,215.91
  5. Step 5: Solve for x
    x = 7,812,215.91/2,328.46
  6. Step 6: Final answer
    x = 3,355.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.