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Finding the Fourth Proportional to 2,776.65, 4,165.88 and 1,737.33

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Solution

The fourth proportional to 2,776.65, 4,165.88 and 1,737.33 is: 2,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.65 : 4,165.88 = 1,737.33 : x
  2. Step 2: Convert to fraction form
    2,776.65/4,165.88 = 1,737.33/x
  3. Step 3: Cross multiply
    2,776.65x = 4,165.88 × 1,737.33
  4. Step 4: Simplify right side
    2,776.65x = 7,237,499.61
  5. Step 5: Solve for x
    x = 7,237,499.61/2,776.65
  6. Step 6: Final answer
    x = 2,606.56

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1.5x scale

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.