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Finding the Fourth Proportional to 2,101.77, 3,152.22 and 715.09

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Solution

The fourth proportional to 2,101.77, 3,152.22 and 715.09 is: 1,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.77 : 3,152.22 = 715.09 : x
  2. Step 2: Convert to fraction form
    2,101.77/3,152.22 = 715.09/x
  3. Step 3: Cross multiply
    2,101.77x = 3,152.22 × 715.09
  4. Step 4: Simplify right side
    2,101.77x = 2,254,121.00
  5. Step 5: Solve for x
    x = 2,254,121.00/2,101.77
  6. Step 6: Final answer
    x = 1,072.49

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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.