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Finding the Fourth Proportional to 2,356, 3,528.02 and 1,418.38

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Solution

The fourth proportional to 2,356, 3,528.02 and 1,418.38 is: 2,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356 : 3,528.02 = 1,418.38 : x
  2. Step 2: Convert to fraction form
    2,356/3,528.02 = 1,418.38/x
  3. Step 3: Cross multiply
    2,356x = 3,528.02 × 1,418.38
  4. Step 4: Simplify right side
    2,356x = 5,004,073.01
  5. Step 5: Solve for x
    x = 5,004,073.01/2,356
  6. Step 6: Final answer
    x = 2,123.97

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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.