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Finding the Fourth Proportional to 1,754.30, 2,631.44 and 714.86

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Solution

The fourth proportional to 1,754.30, 2,631.44 and 714.86 is: 1,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.30 : 2,631.44 = 714.86 : x
  2. Step 2: Convert to fraction form
    1,754.30/2,631.44 = 714.86/x
  3. Step 3: Cross multiply
    1,754.30x = 2,631.44 × 714.86
  4. Step 4: Simplify right side
    1,754.30x = 1,881,119.56
  5. Step 5: Solve for x
    x = 1,881,119.56/1,754.30
  6. Step 6: Final answer
    x = 1,072.29

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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.