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Finding the Fourth Proportional to 2,052.70, 2,832.95 and 1,156.47

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Solution

The fourth proportional to 2,052.70, 2,832.95 and 1,156.47 is: 1,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.70 : 2,832.95 = 1,156.47 : x
  2. Step 2: Convert to fraction form
    2,052.70/2,832.95 = 1,156.47/x
  3. Step 3: Cross multiply
    2,052.70x = 2,832.95 × 1,156.47
  4. Step 4: Simplify right side
    2,052.70x = 3,276,221.69
  5. Step 5: Solve for x
    x = 3,276,221.69/2,052.70
  6. Step 6: Final answer
    x = 1,596.05

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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.