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Finding the Fourth Proportional to 3,066.32, 4,231.28 and 1,740.24

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Solution

The fourth proportional to 3,066.32, 4,231.28 and 1,740.24 is: 2,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.32 : 4,231.28 = 1,740.24 : x
  2. Step 2: Convert to fraction form
    3,066.32/4,231.28 = 1,740.24/x
  3. Step 3: Cross multiply
    3,066.32x = 4,231.28 × 1,740.24
  4. Step 4: Simplify right side
    3,066.32x = 7,363,434.01
  5. Step 5: Solve for x
    x = 7,363,434.01/3,066.32
  6. Step 6: Final answer
    x = 2,401.40

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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.