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Finding the Fourth Proportional to 2,709.95, 3,739.71 and 1,530.99

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Solution

The fourth proportional to 2,709.95, 3,739.71 and 1,530.99 is: 2,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.95 : 3,739.71 = 1,530.99 : x
  2. Step 2: Convert to fraction form
    2,709.95/3,739.71 = 1,530.99/x
  3. Step 3: Cross multiply
    2,709.95x = 3,739.71 × 1,530.99
  4. Step 4: Simplify right side
    2,709.95x = 5,725,458.61
  5. Step 5: Solve for x
    x = 5,725,458.61/2,709.95
  6. Step 6: Final answer
    x = 2,112.76

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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.