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Finding the Fourth Proportional to 2,039.84, 3,060.18 and 1,065.68

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Solution

The fourth proportional to 2,039.84, 3,060.18 and 1,065.68 is: 1,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.84 : 3,060.18 = 1,065.68 : x
  2. Step 2: Convert to fraction form
    2,039.84/3,060.18 = 1,065.68/x
  3. Step 3: Cross multiply
    2,039.84x = 3,060.18 × 1,065.68
  4. Step 4: Simplify right side
    2,039.84x = 3,261,157.32
  5. Step 5: Solve for x
    x = 3,261,157.32/2,039.84
  6. Step 6: Final answer
    x = 1,598.74

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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.