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Finding the Fourth Proportional to 2,060.12, 3,088.68 and 761.36

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Solution

The fourth proportional to 2,060.12, 3,088.68 and 761.36 is: 1,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.12 : 3,088.68 = 761.36 : x
  2. Step 2: Convert to fraction form
    2,060.12/3,088.68 = 761.36/x
  3. Step 3: Cross multiply
    2,060.12x = 3,088.68 × 761.36
  4. Step 4: Simplify right side
    2,060.12x = 2,351,597.40
  5. Step 5: Solve for x
    x = 2,351,597.40/2,060.12
  6. Step 6: Final answer
    x = 1,141.49

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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.