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Finding the Fourth Proportional to 2,758.84, 3,807.74 and 1,580.69

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Solution

The fourth proportional to 2,758.84, 3,807.74 and 1,580.69 is: 2,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.84 : 3,807.74 = 1,580.69 : x
  2. Step 2: Convert to fraction form
    2,758.84/3,807.74 = 1,580.69/x
  3. Step 3: Cross multiply
    2,758.84x = 3,807.74 × 1,580.69
  4. Step 4: Simplify right side
    2,758.84x = 6,018,856.54
  5. Step 5: Solve for x
    x = 6,018,856.54/2,758.84
  6. Step 6: Final answer
    x = 2,181.66

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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.