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Finding the Fourth Proportional to 2,334.48, 3,484.64 and 2,057.70

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Solution

The fourth proportional to 2,334.48, 3,484.64 and 2,057.70 is: 3,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.48 : 3,484.64 = 2,057.70 : x
  2. Step 2: Convert to fraction form
    2,334.48/3,484.64 = 2,057.70/x
  3. Step 3: Cross multiply
    2,334.48x = 3,484.64 × 2,057.70
  4. Step 4: Simplify right side
    2,334.48x = 7,170,333.44
  5. Step 5: Solve for x
    x = 7,170,333.44/2,334.48
  6. Step 6: Final answer
    x = 3,071.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.