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Finding the Fourth Proportional to 1,720.29, 2,374.01 and 934.34

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Solution

The fourth proportional to 1,720.29, 2,374.01 and 934.34 is: 1,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.29 : 2,374.01 = 934.34 : x
  2. Step 2: Convert to fraction form
    1,720.29/2,374.01 = 934.34/x
  3. Step 3: Cross multiply
    1,720.29x = 2,374.01 × 934.34
  4. Step 4: Simplify right side
    1,720.29x = 2,218,115.96
  5. Step 5: Solve for x
    x = 2,218,115.96/1,720.29
  6. Step 6: Final answer
    x = 1,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.