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Finding the Fourth Proportional to 1,967.92, 2,949.12 and 1,417.51

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Solution

The fourth proportional to 1,967.92, 2,949.12 and 1,417.51 is: 2,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.92 : 2,949.12 = 1,417.51 : x
  2. Step 2: Convert to fraction form
    1,967.92/2,949.12 = 1,417.51/x
  3. Step 3: Cross multiply
    1,967.92x = 2,949.12 × 1,417.51
  4. Step 4: Simplify right side
    1,967.92x = 4,180,407.09
  5. Step 5: Solve for x
    x = 4,180,407.09/1,967.92
  6. Step 6: Final answer
    x = 2,124.28

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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.