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Finding the Fourth Proportional to 2,498.21, 3,740.07 and 1,455.02

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Solution

The fourth proportional to 2,498.21, 3,740.07 and 1,455.02 is: 2,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.21 : 3,740.07 = 1,455.02 : x
  2. Step 2: Convert to fraction form
    2,498.21/3,740.07 = 1,455.02/x
  3. Step 3: Cross multiply
    2,498.21x = 3,740.07 × 1,455.02
  4. Step 4: Simplify right side
    2,498.21x = 5,441,876.65
  5. Step 5: Solve for x
    x = 5,441,876.65/2,498.21
  6. Step 6: Final answer
    x = 2,178.31

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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.