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Finding the Fourth Proportional to 2,905.49, 4,358.18 and 714.23

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Solution

The fourth proportional to 2,905.49, 4,358.18 and 714.23 is: 1,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.49 : 4,358.18 = 714.23 : x
  2. Step 2: Convert to fraction form
    2,905.49/4,358.18 = 714.23/x
  3. Step 3: Cross multiply
    2,905.49x = 4,358.18 × 714.23
  4. Step 4: Simplify right side
    2,905.49x = 3,112,742.90
  5. Step 5: Solve for x
    x = 3,112,742.90/2,905.49
  6. Step 6: Final answer
    x = 1,071.33

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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.