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Finding the Fourth Proportional to 3,099.76, 4,277.64 and 1,857.76

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Solution

The fourth proportional to 3,099.76, 4,277.64 and 1,857.76 is: 2,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.76 : 4,277.64 = 1,857.76 : x
  2. Step 2: Convert to fraction form
    3,099.76/4,277.64 = 1,857.76/x
  3. Step 3: Cross multiply
    3,099.76x = 4,277.64 × 1,857.76
  4. Step 4: Simplify right side
    3,099.76x = 7,946,828.49
  5. Step 5: Solve for x
    x = 7,946,828.49/3,099.76
  6. Step 6: Final answer
    x = 2,563.69

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1.5x scale

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.