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Finding the Fourth Proportional to 3,314.20, 4,573.53 and 1,822.10

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Solution

The fourth proportional to 3,314.20, 4,573.53 and 1,822.10 is: 2,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.20 : 4,573.53 = 1,822.10 : x
  2. Step 2: Convert to fraction form
    3,314.20/4,573.53 = 1,822.10/x
  3. Step 3: Cross multiply
    3,314.20x = 4,573.53 × 1,822.10
  4. Step 4: Simplify right side
    3,314.20x = 8,333,445.00
  5. Step 5: Solve for x
    x = 8,333,445.00/3,314.20
  6. Step 6: Final answer
    x = 2,514.47

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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.