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Finding the Fourth Proportional to 2,065.45, 3,097.52 and 678.47

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Solution

The fourth proportional to 2,065.45, 3,097.52 and 678.47 is: 1,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.45 : 3,097.52 = 678.47 : x
  2. Step 2: Convert to fraction form
    2,065.45/3,097.52 = 678.47/x
  3. Step 3: Cross multiply
    2,065.45x = 3,097.52 × 678.47
  4. Step 4: Simplify right side
    2,065.45x = 2,101,561.19
  5. Step 5: Solve for x
    x = 2,101,561.19/2,065.45
  6. Step 6: Final answer
    x = 1,017.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.