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Finding the Fourth Proportional to 2,644.51, 3,966.93 and 889.38

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Solution

The fourth proportional to 2,644.51, 3,966.93 and 889.38 is: 1,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.51 : 3,966.93 = 889.38 : x
  2. Step 2: Convert to fraction form
    2,644.51/3,966.93 = 889.38/x
  3. Step 3: Cross multiply
    2,644.51x = 3,966.93 × 889.38
  4. Step 4: Simplify right side
    2,644.51x = 3,528,108.20
  5. Step 5: Solve for x
    x = 3,528,108.20/2,644.51
  6. Step 6: Final answer
    x = 1,334.13

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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.