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Finding the Fourth Proportional to 3,091.45, 4,637.63 and 899.89

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Solution

The fourth proportional to 3,091.45, 4,637.63 and 899.89 is: 1,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.45 : 4,637.63 = 899.89 : x
  2. Step 2: Convert to fraction form
    3,091.45/4,637.63 = 899.89/x
  3. Step 3: Cross multiply
    3,091.45x = 4,637.63 × 899.89
  4. Step 4: Simplify right side
    3,091.45x = 4,173,356.86
  5. Step 5: Solve for x
    x = 4,173,356.86/3,091.45
  6. Step 6: Final answer
    x = 1,349.97

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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.