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Finding the Fourth Proportional to 2,493.96, 3,733.65 and 1,751.01

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Solution

The fourth proportional to 2,493.96, 3,733.65 and 1,751.01 is: 2,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.96 : 3,733.65 = 1,751.01 : x
  2. Step 2: Convert to fraction form
    2,493.96/3,733.65 = 1,751.01/x
  3. Step 3: Cross multiply
    2,493.96x = 3,733.65 × 1,751.01
  4. Step 4: Simplify right side
    2,493.96x = 6,537,658.49
  5. Step 5: Solve for x
    x = 6,537,658.49/2,493.96
  6. Step 6: Final answer
    x = 2,621.40

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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.