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Finding the Fourth Proportional to 2,059.98, 3,089.54 and 761.14

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Solution

The fourth proportional to 2,059.98, 3,089.54 and 761.14 is: 1,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.98 : 3,089.54 = 761.14 : x
  2. Step 2: Convert to fraction form
    2,059.98/3,089.54 = 761.14/x
  3. Step 3: Cross multiply
    2,059.98x = 3,089.54 × 761.14
  4. Step 4: Simplify right side
    2,059.98x = 2,351,572.48
  5. Step 5: Solve for x
    x = 2,351,572.48/2,059.98
  6. Step 6: Final answer
    x = 1,141.55

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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.