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Finding the Fourth Proportional to 4,258.84, 6,384.42 and 2,431

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Solution

The fourth proportional to 4,258.84, 6,384.42 and 2,431 is: 3,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.84 : 6,384.42 = 2,431 : x
  2. Step 2: Convert to fraction form
    4,258.84/6,384.42 = 2,431/x
  3. Step 3: Cross multiply
    4,258.84x = 6,384.42 × 2,431
  4. Step 4: Simplify right side
    4,258.84x = 15,520,525.02
  5. Step 5: Solve for x
    x = 15,520,525.02/4,258.84
  6. Step 6: Final answer
    x = 3,644.31

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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.