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Finding the Fourth Proportional to 2,288.47, 3,157.19 and 1,492.73

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Solution

The fourth proportional to 2,288.47, 3,157.19 and 1,492.73 is: 2,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.47 : 3,157.19 = 1,492.73 : x
  2. Step 2: Convert to fraction form
    2,288.47/3,157.19 = 1,492.73/x
  3. Step 3: Cross multiply
    2,288.47x = 3,157.19 × 1,492.73
  4. Step 4: Simplify right side
    2,288.47x = 4,712,834.81
  5. Step 5: Solve for x
    x = 4,712,834.81/2,288.47
  6. Step 6: Final answer
    x = 2,059.38

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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.