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Finding the Fourth Proportional to 2,892.81, 4,337.50 and 1,641.41

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Solution

The fourth proportional to 2,892.81, 4,337.50 and 1,641.41 is: 2,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.81 : 4,337.50 = 1,641.41 : x
  2. Step 2: Convert to fraction form
    2,892.81/4,337.50 = 1,641.41/x
  3. Step 3: Cross multiply
    2,892.81x = 4,337.50 × 1,641.41
  4. Step 4: Simplify right side
    2,892.81x = 7,119,633.83
  5. Step 5: Solve for x
    x = 7,119,633.83/2,892.81
  6. Step 6: Final answer
    x = 2,461.14

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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.