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Finding the Fourth Proportional to 2,654.63, 3,981.71 and 899.59

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Solution

The fourth proportional to 2,654.63, 3,981.71 and 899.59 is: 1,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.63 : 3,981.71 = 899.59 : x
  2. Step 2: Convert to fraction form
    2,654.63/3,981.71 = 899.59/x
  3. Step 3: Cross multiply
    2,654.63x = 3,981.71 × 899.59
  4. Step 4: Simplify right side
    2,654.63x = 3,581,892.05
  5. Step 5: Solve for x
    x = 3,581,892.05/2,654.63
  6. Step 6: Final answer
    x = 1,349.30

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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.