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Finding the Fourth Proportional to 2,346.62, 3,239.07 and 1,507.46

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Solution

The fourth proportional to 2,346.62, 3,239.07 and 1,507.46 is: 2,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.62 : 3,239.07 = 1,507.46 : x
  2. Step 2: Convert to fraction form
    2,346.62/3,239.07 = 1,507.46/x
  3. Step 3: Cross multiply
    2,346.62x = 3,239.07 × 1,507.46
  4. Step 4: Simplify right side
    2,346.62x = 4,882,768.46
  5. Step 5: Solve for x
    x = 4,882,768.46/2,346.62
  6. Step 6: Final answer
    x = 2,080.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.