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Finding the Fourth Proportional to 2,357.46, 3,507.55 and 2,349.39

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Solution

The fourth proportional to 2,357.46, 3,507.55 and 2,349.39 is: 3,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.46 : 3,507.55 = 2,349.39 : x
  2. Step 2: Convert to fraction form
    2,357.46/3,507.55 = 2,349.39/x
  3. Step 3: Cross multiply
    2,357.46x = 3,507.55 × 2,349.39
  4. Step 4: Simplify right side
    2,357.46x = 8,240,591.15
  5. Step 5: Solve for x
    x = 8,240,591.15/2,357.46
  6. Step 6: Final answer
    x = 3,495.54

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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.