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Finding the Fourth Proportional to 2,605.94, 3,594.92 and 1,776.50

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Solution

The fourth proportional to 2,605.94, 3,594.92 and 1,776.50 is: 2,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.94 : 3,594.92 = 1,776.50 : x
  2. Step 2: Convert to fraction form
    2,605.94/3,594.92 = 1,776.50/x
  3. Step 3: Cross multiply
    2,605.94x = 3,594.92 × 1,776.50
  4. Step 4: Simplify right side
    2,605.94x = 6,386,375.38
  5. Step 5: Solve for x
    x = 6,386,375.38/2,605.94
  6. Step 6: Final answer
    x = 2,450.70

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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.