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Finding the Fourth Proportional to 2,057.69, 3,088.58 and 1,133.66

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Solution

The fourth proportional to 2,057.69, 3,088.58 and 1,133.66 is: 1,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.69 : 3,088.58 = 1,133.66 : x
  2. Step 2: Convert to fraction form
    2,057.69/3,088.58 = 1,133.66/x
  3. Step 3: Cross multiply
    2,057.69x = 3,088.58 × 1,133.66
  4. Step 4: Simplify right side
    2,057.69x = 3,501,378.49
  5. Step 5: Solve for x
    x = 3,501,378.49/2,057.69
  6. Step 6: Final answer
    x = 1,701.61

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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.