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Finding the Fourth Proportional to 2,824.30, 4,237.02 and 975.49

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Solution

The fourth proportional to 2,824.30, 4,237.02 and 975.49 is: 1,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.30 : 4,237.02 = 975.49 : x
  2. Step 2: Convert to fraction form
    2,824.30/4,237.02 = 975.49/x
  3. Step 3: Cross multiply
    2,824.30x = 4,237.02 × 975.49
  4. Step 4: Simplify right side
    2,824.30x = 4,133,170.64
  5. Step 5: Solve for x
    x = 4,133,170.64/2,824.30
  6. Step 6: Final answer
    x = 1,463.43

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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.