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Finding the Fourth Proportional to 1,641.01, 2,461.47 and 716.56

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Solution

The fourth proportional to 1,641.01, 2,461.47 and 716.56 is: 1,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.01 : 2,461.47 = 716.56 : x
  2. Step 2: Convert to fraction form
    1,641.01/2,461.47 = 716.56/x
  3. Step 3: Cross multiply
    1,641.01x = 2,461.47 × 716.56
  4. Step 4: Simplify right side
    1,641.01x = 1,763,790.94
  5. Step 5: Solve for x
    x = 1,763,790.94/1,641.01
  6. Step 6: Final answer
    x = 1,074.82

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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.