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Finding the Fourth Proportional to 2,493.65, 3,741.86 and 2,130.10

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Solution

The fourth proportional to 2,493.65, 3,741.86 and 2,130.10 is: 3,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.65 : 3,741.86 = 2,130.10 : x
  2. Step 2: Convert to fraction form
    2,493.65/3,741.86 = 2,130.10/x
  3. Step 3: Cross multiply
    2,493.65x = 3,741.86 × 2,130.10
  4. Step 4: Simplify right side
    2,493.65x = 7,970,531.96
  5. Step 5: Solve for x
    x = 7,970,531.96/2,493.65
  6. Step 6: Final answer
    x = 3,196.33

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Why These Related Problems?

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