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Finding the Fourth Proportional to 2,472.98, 3,412.47 and 1,464.47

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Solution

The fourth proportional to 2,472.98, 3,412.47 and 1,464.47 is: 2,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.98 : 3,412.47 = 1,464.47 : x
  2. Step 2: Convert to fraction form
    2,472.98/3,412.47 = 1,464.47/x
  3. Step 3: Cross multiply
    2,472.98x = 3,412.47 × 1,464.47
  4. Step 4: Simplify right side
    2,472.98x = 4,997,459.94
  5. Step 5: Solve for x
    x = 4,997,459.94/2,472.98
  6. Step 6: Final answer
    x = 2,020.83

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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.