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Finding the Fourth Proportional to 2,472.75, 3,412.40 and 1,368.75

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Solution

The fourth proportional to 2,472.75, 3,412.40 and 1,368.75 is: 1,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.75 : 3,412.40 = 1,368.75 : x
  2. Step 2: Convert to fraction form
    2,472.75/3,412.40 = 1,368.75/x
  3. Step 3: Cross multiply
    2,472.75x = 3,412.40 × 1,368.75
  4. Step 4: Simplify right side
    2,472.75x = 4,670,715.66
  5. Step 5: Solve for x
    x = 4,670,715.66/2,472.75
  6. Step 6: Final answer
    x = 1,888.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.