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Finding the Fourth Proportional to 1,742.86, 2,614.98 and 768.28

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Solution

The fourth proportional to 1,742.86, 2,614.98 and 768.28 is: 1,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.86 : 2,614.98 = 768.28 : x
  2. Step 2: Convert to fraction form
    1,742.86/2,614.98 = 768.28/x
  3. Step 3: Cross multiply
    1,742.86x = 2,614.98 × 768.28
  4. Step 4: Simplify right side
    1,742.86x = 2,009,032.99
  5. Step 5: Solve for x
    x = 2,009,032.99/1,742.86
  6. Step 6: Final answer
    x = 1,152.72

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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.