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Finding the Fourth Proportional to 2,455.20, 3,703.14 and 2,293.20

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Solution

The fourth proportional to 2,455.20, 3,703.14 and 2,293.20 is: 3,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.20 : 3,703.14 = 2,293.20 : x
  2. Step 2: Convert to fraction form
    2,455.20/3,703.14 = 2,293.20/x
  3. Step 3: Cross multiply
    2,455.20x = 3,703.14 × 2,293.20
  4. Step 4: Simplify right side
    2,455.20x = 8,492,040.65
  5. Step 5: Solve for x
    x = 8,492,040.65/2,455.20
  6. Step 6: Final answer
    x = 3,458.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.