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Finding the Fourth Proportional to 2,710.69, 4,066.62 and 836.59

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Solution

The fourth proportional to 2,710.69, 4,066.62 and 836.59 is: 1,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.69 : 4,066.62 = 836.59 : x
  2. Step 2: Convert to fraction form
    2,710.69/4,066.62 = 836.59/x
  3. Step 3: Cross multiply
    2,710.69x = 4,066.62 × 836.59
  4. Step 4: Simplify right side
    2,710.69x = 3,402,093.63
  5. Step 5: Solve for x
    x = 3,402,093.63/2,710.69
  6. Step 6: Final answer
    x = 1,255.07

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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.