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Finding the Fourth Proportional to 1,701.54, 2,555.25 and 1,012.53

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Solution

The fourth proportional to 1,701.54, 2,555.25 and 1,012.53 is: 1,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.54 : 2,555.25 = 1,012.53 : x
  2. Step 2: Convert to fraction form
    1,701.54/2,555.25 = 1,012.53/x
  3. Step 3: Cross multiply
    1,701.54x = 2,555.25 × 1,012.53
  4. Step 4: Simplify right side
    1,701.54x = 2,587,267.28
  5. Step 5: Solve for x
    x = 2,587,267.28/1,701.54
  6. Step 6: Final answer
    x = 1,520.54

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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.