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Finding the Fourth Proportional to 2,709.33, 4,064.00 and 1,066.05

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Solution

The fourth proportional to 2,709.33, 4,064.00 and 1,066.05 is: 1,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.33 : 4,064.00 = 1,066.05 : x
  2. Step 2: Convert to fraction form
    2,709.33/4,064.00 = 1,066.05/x
  3. Step 3: Cross multiply
    2,709.33x = 4,064.00 × 1,066.05
  4. Step 4: Simplify right side
    2,709.33x = 4,332,421.87
  5. Step 5: Solve for x
    x = 4,332,421.87/2,709.33
  6. Step 6: Final answer
    x = 1,599.08

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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.