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Finding the Fourth Proportional to 2,457.93, 3,691.10 and 1,641.45

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Solution

The fourth proportional to 2,457.93, 3,691.10 and 1,641.45 is: 2,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.93 : 3,691.10 = 1,641.45 : x
  2. Step 2: Convert to fraction form
    2,457.93/3,691.10 = 1,641.45/x
  3. Step 3: Cross multiply
    2,457.93x = 3,691.10 × 1,641.45
  4. Step 4: Simplify right side
    2,457.93x = 6,058,756.10
  5. Step 5: Solve for x
    x = 6,058,756.10/2,457.93
  6. Step 6: Final answer
    x = 2,464.98

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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.