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Finding the Fourth Proportional to 2,473.23, 3,710.13 and 2,014.92

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Solution

The fourth proportional to 2,473.23, 3,710.13 and 2,014.92 is: 3,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.23 : 3,710.13 = 2,014.92 : x
  2. Step 2: Convert to fraction form
    2,473.23/3,710.13 = 2,014.92/x
  3. Step 3: Cross multiply
    2,473.23x = 3,710.13 × 2,014.92
  4. Step 4: Simplify right side
    2,473.23x = 7,475,615.14
  5. Step 5: Solve for x
    x = 7,475,615.14/2,473.23
  6. Step 6: Final answer
    x = 3,022.61

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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.