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Finding the Fourth Proportional to 2,068.07, 3,103.86 and 899.01

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Solution

The fourth proportional to 2,068.07, 3,103.86 and 899.01 is: 1,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.07 : 3,103.86 = 899.01 : x
  2. Step 2: Convert to fraction form
    2,068.07/3,103.86 = 899.01/x
  3. Step 3: Cross multiply
    2,068.07x = 3,103.86 × 899.01
  4. Step 4: Simplify right side
    2,068.07x = 2,790,381.16
  5. Step 5: Solve for x
    x = 2,790,381.16/2,068.07
  6. Step 6: Final answer
    x = 1,349.27

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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.