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Finding the Fourth Proportional to 2,262.62, 3,122.50 and 1,319.02

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Solution

The fourth proportional to 2,262.62, 3,122.50 and 1,319.02 is: 1,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.62 : 3,122.50 = 1,319.02 : x
  2. Step 2: Convert to fraction form
    2,262.62/3,122.50 = 1,319.02/x
  3. Step 3: Cross multiply
    2,262.62x = 3,122.50 × 1,319.02
  4. Step 4: Simplify right side
    2,262.62x = 4,118,631.32
  5. Step 5: Solve for x
    x = 4,118,631.32/2,262.62
  6. Step 6: Final answer
    x = 1,820.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.