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Finding the Fourth Proportional to 2,065.96, 3,097.44 and 678.84

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Solution

The fourth proportional to 2,065.96, 3,097.44 and 678.84 is: 1,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.96 : 3,097.44 = 678.84 : x
  2. Step 2: Convert to fraction form
    2,065.96/3,097.44 = 678.84/x
  3. Step 3: Cross multiply
    2,065.96x = 3,097.44 × 678.84
  4. Step 4: Simplify right side
    2,065.96x = 2,102,666.17
  5. Step 5: Solve for x
    x = 2,102,666.17/2,065.96
  6. Step 6: Final answer
    x = 1,017.77

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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.