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Finding the Fourth Proportional to 2,572.94, 3,857.81 and 1,184.50

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Solution

The fourth proportional to 2,572.94, 3,857.81 and 1,184.50 is: 1,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.94 : 3,857.81 = 1,184.50 : x
  2. Step 2: Convert to fraction form
    2,572.94/3,857.81 = 1,184.50/x
  3. Step 3: Cross multiply
    2,572.94x = 3,857.81 × 1,184.50
  4. Step 4: Simplify right side
    2,572.94x = 4,569,575.95
  5. Step 5: Solve for x
    x = 4,569,575.95/2,572.94
  6. Step 6: Final answer
    x = 1,776.01

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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.