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Finding the Fourth Proportional to 1,497.20, 2,246.22 and 572.83

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Solution

The fourth proportional to 1,497.20, 2,246.22 and 572.83 is: 859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.20 : 2,246.22 = 572.83 : x
  2. Step 2: Convert to fraction form
    1,497.20/2,246.22 = 572.83/x
  3. Step 3: Cross multiply
    1,497.20x = 2,246.22 × 572.83
  4. Step 4: Simplify right side
    1,497.20x = 1,286,696.59
  5. Step 5: Solve for x
    x = 1,286,696.59/1,497.20
  6. Step 6: Final answer
    x = 859.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.