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Finding the Fourth Proportional to 2,333.47, 3,496.55 and 1,346.89

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Solution

The fourth proportional to 2,333.47, 3,496.55 and 1,346.89 is: 2,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.47 : 3,496.55 = 1,346.89 : x
  2. Step 2: Convert to fraction form
    2,333.47/3,496.55 = 1,346.89/x
  3. Step 3: Cross multiply
    2,333.47x = 3,496.55 × 1,346.89
  4. Step 4: Simplify right side
    2,333.47x = 4,709,462.73
  5. Step 5: Solve for x
    x = 4,709,462.73/2,333.47
  6. Step 6: Final answer
    x = 2,018.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.