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Finding the Fourth Proportional to 1,522.86, 2,281.32 and 1,357.57

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Solution

The fourth proportional to 1,522.86, 2,281.32 and 1,357.57 is: 2,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.86 : 2,281.32 = 1,357.57 : x
  2. Step 2: Convert to fraction form
    1,522.86/2,281.32 = 1,357.57/x
  3. Step 3: Cross multiply
    1,522.86x = 2,281.32 × 1,357.57
  4. Step 4: Simplify right side
    1,522.86x = 3,097,051.59
  5. Step 5: Solve for x
    x = 3,097,051.59/1,522.86
  6. Step 6: Final answer
    x = 2,033.71

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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.