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Finding the Fourth Proportional to 2,709.01, 4,063.52 and 761.06

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Solution

The fourth proportional to 2,709.01, 4,063.52 and 761.06 is: 1,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.01 : 4,063.52 = 761.06 : x
  2. Step 2: Convert to fraction form
    2,709.01/4,063.52 = 761.06/x
  3. Step 3: Cross multiply
    2,709.01x = 4,063.52 × 761.06
  4. Step 4: Simplify right side
    2,709.01x = 3,092,590.31
  5. Step 5: Solve for x
    x = 3,092,590.31/2,709.01
  6. Step 6: Final answer
    x = 1,141.59

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1.5x scale

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.