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Finding the Fourth Proportional to 2,065.33, 3,097.35 and 678.35

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Solution

The fourth proportional to 2,065.33, 3,097.35 and 678.35 is: 1,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.33 : 3,097.35 = 678.35 : x
  2. Step 2: Convert to fraction form
    2,065.33/3,097.35 = 678.35/x
  3. Step 3: Cross multiply
    2,065.33x = 3,097.35 × 678.35
  4. Step 4: Simplify right side
    2,065.33x = 2,101,077.42
  5. Step 5: Solve for x
    x = 2,101,077.42/2,065.33
  6. Step 6: Final answer
    x = 1,017.31

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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.