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Finding the Fourth Proportional to 2,891.07, 3,989.67 and 1,564.77

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Solution

The fourth proportional to 2,891.07, 3,989.67 and 1,564.77 is: 2,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.07 : 3,989.67 = 1,564.77 : x
  2. Step 2: Convert to fraction form
    2,891.07/3,989.67 = 1,564.77/x
  3. Step 3: Cross multiply
    2,891.07x = 3,989.67 × 1,564.77
  4. Step 4: Simplify right side
    2,891.07x = 6,242,915.93
  5. Step 5: Solve for x
    x = 6,242,915.93/2,891.07
  6. Step 6: Final answer
    x = 2,159.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.