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Finding the Fourth Proportional to 1,639.73, 2,459.34 and 899.71

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Solution

The fourth proportional to 1,639.73, 2,459.34 and 899.71 is: 1,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.73 : 2,459.34 = 899.71 : x
  2. Step 2: Convert to fraction form
    1,639.73/2,459.34 = 899.71/x
  3. Step 3: Cross multiply
    1,639.73x = 2,459.34 × 899.71
  4. Step 4: Simplify right side
    1,639.73x = 2,212,678.25
  5. Step 5: Solve for x
    x = 2,212,678.25/1,639.73
  6. Step 6: Final answer
    x = 1,349.42

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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.