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Finding the Fourth Proportional to 2,905.53, 4,358.28 and 714.27

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Solution

The fourth proportional to 2,905.53, 4,358.28 and 714.27 is: 1,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.53 : 4,358.28 = 714.27 : x
  2. Step 2: Convert to fraction form
    2,905.53/4,358.28 = 714.27/x
  3. Step 3: Cross multiply
    2,905.53x = 4,358.28 × 714.27
  4. Step 4: Simplify right side
    2,905.53x = 3,113,007.68
  5. Step 5: Solve for x
    x = 3,113,007.68/2,905.53
  6. Step 6: Final answer
    x = 1,071.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.