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Finding the Fourth Proportional to 2,065.86, 3,097.74 and 678.90

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Solution

The fourth proportional to 2,065.86, 3,097.74 and 678.90 is: 1,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.86 : 3,097.74 = 678.90 : x
  2. Step 2: Convert to fraction form
    2,065.86/3,097.74 = 678.90/x
  3. Step 3: Cross multiply
    2,065.86x = 3,097.74 × 678.90
  4. Step 4: Simplify right side
    2,065.86x = 2,103,055.69
  5. Step 5: Solve for x
    x = 2,103,055.69/2,065.86
  6. Step 6: Final answer
    x = 1,018.00

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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.