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Finding the Fourth Proportional to 2,707.66, 3,736.50 and 1,528.72

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Solution

The fourth proportional to 2,707.66, 3,736.50 and 1,528.72 is: 2,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.66 : 3,736.50 = 1,528.72 : x
  2. Step 2: Convert to fraction form
    2,707.66/3,736.50 = 1,528.72/x
  3. Step 3: Cross multiply
    2,707.66x = 3,736.50 × 1,528.72
  4. Step 4: Simplify right side
    2,707.66x = 5,712,062.28
  5. Step 5: Solve for x
    x = 5,712,062.28/2,707.66
  6. Step 6: Final answer
    x = 2,109.59

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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.