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Finding the Fourth Proportional to 2,343.51, 3,537.32 and 2,343.51

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Solution

The fourth proportional to 2,343.51, 3,537.32 and 2,343.51 is: 3,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.51 : 3,537.32 = 2,343.51 : x
  2. Step 2: Convert to fraction form
    2,343.51/3,537.32 = 2,343.51/x
  3. Step 3: Cross multiply
    2,343.51x = 3,537.32 × 2,343.51
  4. Step 4: Simplify right side
    2,343.51x = 8,289,733.08
  5. Step 5: Solve for x
    x = 8,289,733.08/2,343.51
  6. Step 6: Final answer
    x = 3,537.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.