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Finding the Fourth Proportional to 2,349.66, 3,507.10 and 2,072.90

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Solution

The fourth proportional to 2,349.66, 3,507.10 and 2,072.90 is: 3,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.66 : 3,507.10 = 2,072.90 : x
  2. Step 2: Convert to fraction form
    2,349.66/3,507.10 = 2,072.90/x
  3. Step 3: Cross multiply
    2,349.66x = 3,507.10 × 2,072.90
  4. Step 4: Simplify right side
    2,349.66x = 7,269,867.59
  5. Step 5: Solve for x
    x = 7,269,867.59/2,349.66
  6. Step 6: Final answer
    x = 3,094.01

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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.