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Finding the Fourth Proportional to 2,010.64, 2,775 and 1,160.24

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Solution

The fourth proportional to 2,010.64, 2,775 and 1,160.24 is: 1,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.64 : 2,775 = 1,160.24 : x
  2. Step 2: Convert to fraction form
    2,010.64/2,775 = 1,160.24/x
  3. Step 3: Cross multiply
    2,010.64x = 2,775 × 1,160.24
  4. Step 4: Simplify right side
    2,010.64x = 3,219,666
  5. Step 5: Solve for x
    x = 3,219,666/2,010.64
  6. Step 6: Final answer
    x = 1,601.31

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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.