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Finding the Fourth Proportional to 2,152.88, 3,203.58 and 2,145.59

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Solution

The fourth proportional to 2,152.88, 3,203.58 and 2,145.59 is: 3,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.88 : 3,203.58 = 2,145.59 : x
  2. Step 2: Convert to fraction form
    2,152.88/3,203.58 = 2,145.59/x
  3. Step 3: Cross multiply
    2,152.88x = 3,203.58 × 2,145.59
  4. Step 4: Simplify right side
    2,152.88x = 6,873,569.21
  5. Step 5: Solve for x
    x = 6,873,569.21/2,152.88
  6. Step 6: Final answer
    x = 3,192.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.