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Finding the Fourth Proportional to 2,416.01, 3,333.21 and 1,471.42

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Solution

The fourth proportional to 2,416.01, 3,333.21 and 1,471.42 is: 2,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.01 : 3,333.21 = 1,471.42 : x
  2. Step 2: Convert to fraction form
    2,416.01/3,333.21 = 1,471.42/x
  3. Step 3: Cross multiply
    2,416.01x = 3,333.21 × 1,471.42
  4. Step 4: Simplify right side
    2,416.01x = 4,904,551.86
  5. Step 5: Solve for x
    x = 4,904,551.86/2,416.01
  6. Step 6: Final answer
    x = 2,030.02

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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.