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Finding the Fourth Proportional to 2,473.34, 3,414.80 and 2,207.32

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Solution

The fourth proportional to 2,473.34, 3,414.80 and 2,207.32 is: 3,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.34 : 3,414.80 = 2,207.32 : x
  2. Step 2: Convert to fraction form
    2,473.34/3,414.80 = 2,207.32/x
  3. Step 3: Cross multiply
    2,473.34x = 3,414.80 × 2,207.32
  4. Step 4: Simplify right side
    2,473.34x = 7,537,572.53
  5. Step 5: Solve for x
    x = 7,537,572.53/2,473.34
  6. Step 6: Final answer
    x = 3,047.53

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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.