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Finding the Fourth Proportional to 2,355.98, 3,530.63 and 1,734.82

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Solution

The fourth proportional to 2,355.98, 3,530.63 and 1,734.82 is: 2,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.98 : 3,530.63 = 1,734.82 : x
  2. Step 2: Convert to fraction form
    2,355.98/3,530.63 = 1,734.82/x
  3. Step 3: Cross multiply
    2,355.98x = 3,530.63 × 1,734.82
  4. Step 4: Simplify right side
    2,355.98x = 6,124,981.21
  5. Step 5: Solve for x
    x = 6,124,981.21/2,355.98
  6. Step 6: Final answer
    x = 2,599.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.