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Finding the Fourth Proportional to 2,707.76, 3,736.68 and 1,588.48

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Solution

The fourth proportional to 2,707.76, 3,736.68 and 1,588.48 is: 2,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.76 : 3,736.68 = 1,588.48 : x
  2. Step 2: Convert to fraction form
    2,707.76/3,736.68 = 1,588.48/x
  3. Step 3: Cross multiply
    2,707.76x = 3,736.68 × 1,588.48
  4. Step 4: Simplify right side
    2,707.76x = 5,935,641.45
  5. Step 5: Solve for x
    x = 5,935,641.45/2,707.76
  6. Step 6: Final answer
    x = 2,192.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.