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Finding the Fourth Proportional to 1,610.07, 2,224.17 and 1,491

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Solution

The fourth proportional to 1,610.07, 2,224.17 and 1,491 is: 2,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.07 : 2,224.17 = 1,491 : x
  2. Step 2: Convert to fraction form
    1,610.07/2,224.17 = 1,491/x
  3. Step 3: Cross multiply
    1,610.07x = 2,224.17 × 1,491
  4. Step 4: Simplify right side
    1,610.07x = 3,316,237.47
  5. Step 5: Solve for x
    x = 3,316,237.47/1,610.07
  6. Step 6: Final answer
    x = 2,059.69

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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.