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Finding the Fourth Proportional to 2,552.52, 3,520.32 and 2,156.13

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Solution

The fourth proportional to 2,552.52, 3,520.32 and 2,156.13 is: 2,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.52 : 3,520.32 = 2,156.13 : x
  2. Step 2: Convert to fraction form
    2,552.52/3,520.32 = 2,156.13/x
  3. Step 3: Cross multiply
    2,552.52x = 3,520.32 × 2,156.13
  4. Step 4: Simplify right side
    2,552.52x = 7,590,267.56
  5. Step 5: Solve for x
    x = 7,590,267.56/2,552.52
  6. Step 6: Final answer
    x = 2,973.64

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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.