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Finding the Fourth Proportional to 2,531.91, 3,495.10 and 1,537.51

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Solution

The fourth proportional to 2,531.91, 3,495.10 and 1,537.51 is: 2,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.91 : 3,495.10 = 1,537.51 : x
  2. Step 2: Convert to fraction form
    2,531.91/3,495.10 = 1,537.51/x
  3. Step 3: Cross multiply
    2,531.91x = 3,495.10 × 1,537.51
  4. Step 4: Simplify right side
    2,531.91x = 5,373,738.23
  5. Step 5: Solve for x
    x = 5,373,738.23/2,531.91
  6. Step 6: Final answer
    x = 2,122.41

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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.