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Finding the Fourth Proportional to 2,068.71, 3,103.35 and 607.65

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Solution

The fourth proportional to 2,068.71, 3,103.35 and 607.65 is: 911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.71 : 3,103.35 = 607.65 : x
  2. Step 2: Convert to fraction form
    2,068.71/3,103.35 = 607.65/x
  3. Step 3: Cross multiply
    2,068.71x = 3,103.35 × 607.65
  4. Step 4: Simplify right side
    2,068.71x = 1,885,750.63
  5. Step 5: Solve for x
    x = 1,885,750.63/2,068.71
  6. Step 6: Final answer
    x = 911.56

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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.