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Finding the Fourth Proportional to 1,935.65, 2,904.61 and 765.76

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Solution

The fourth proportional to 1,935.65, 2,904.61 and 765.76 is: 1,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.65 : 2,904.61 = 765.76 : x
  2. Step 2: Convert to fraction form
    1,935.65/2,904.61 = 765.76/x
  3. Step 3: Cross multiply
    1,935.65x = 2,904.61 × 765.76
  4. Step 4: Simplify right side
    1,935.65x = 2,224,240.03
  5. Step 5: Solve for x
    x = 2,224,240.03/1,935.65
  6. Step 6: Final answer
    x = 1,149.09

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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.