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Finding the Fourth Proportional to 1,989.16, 2,746.02 and 1,525.48

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Solution

The fourth proportional to 1,989.16, 2,746.02 and 1,525.48 is: 2,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.16 : 2,746.02 = 1,525.48 : x
  2. Step 2: Convert to fraction form
    1,989.16/2,746.02 = 1,525.48/x
  3. Step 3: Cross multiply
    1,989.16x = 2,746.02 × 1,525.48
  4. Step 4: Simplify right side
    1,989.16x = 4,188,998.59
  5. Step 5: Solve for x
    x = 4,188,998.59/1,989.16
  6. Step 6: Final answer
    x = 2,105.91

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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.