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Finding the Fourth Proportional to 1,751.59, 2,625.22 and 971.56

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Solution

The fourth proportional to 1,751.59, 2,625.22 and 971.56 is: 1,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.59 : 2,625.22 = 971.56 : x
  2. Step 2: Convert to fraction form
    1,751.59/2,625.22 = 971.56/x
  3. Step 3: Cross multiply
    1,751.59x = 2,625.22 × 971.56
  4. Step 4: Simplify right side
    1,751.59x = 2,550,558.74
  5. Step 5: Solve for x
    x = 2,550,558.74/1,751.59
  6. Step 6: Final answer
    x = 1,456.14

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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.