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Finding the Fourth Proportional to 2,776.95, 3,832.61 and 1,597.94

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Solution

The fourth proportional to 2,776.95, 3,832.61 and 1,597.94 is: 2,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.95 : 3,832.61 = 1,597.94 : x
  2. Step 2: Convert to fraction form
    2,776.95/3,832.61 = 1,597.94/x
  3. Step 3: Cross multiply
    2,776.95x = 3,832.61 × 1,597.94
  4. Step 4: Simplify right side
    2,776.95x = 6,124,280.82
  5. Step 5: Solve for x
    x = 6,124,280.82/2,776.95
  6. Step 6: Final answer
    x = 2,205.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.