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Finding the Fourth Proportional to 2,497.67, 3,444.93 and 2,214.42

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Solution

The fourth proportional to 2,497.67, 3,444.93 and 2,214.42 is: 3,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.67 : 3,444.93 = 2,214.42 : x
  2. Step 2: Convert to fraction form
    2,497.67/3,444.93 = 2,214.42/x
  3. Step 3: Cross multiply
    2,497.67x = 3,444.93 × 2,214.42
  4. Step 4: Simplify right side
    2,497.67x = 7,628,528.35
  5. Step 5: Solve for x
    x = 7,628,528.35/2,497.67
  6. Step 6: Final answer
    x = 3,054.26

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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.