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Finding the Fourth Proportional to 2,708.96, 3,738.62 and 1,530.01

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Solution

The fourth proportional to 2,708.96, 3,738.62 and 1,530.01 is: 2,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.96 : 3,738.62 = 1,530.01 : x
  2. Step 2: Convert to fraction form
    2,708.96/3,738.62 = 1,530.01/x
  3. Step 3: Cross multiply
    2,708.96x = 3,738.62 × 1,530.01
  4. Step 4: Simplify right side
    2,708.96x = 5,720,125.99
  5. Step 5: Solve for x
    x = 5,720,125.99/2,708.96
  6. Step 6: Final answer
    x = 2,111.56

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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.