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Finding the Fourth Proportional to 2,160.95, 2,982.38 and 1,415.52

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Solution

The fourth proportional to 2,160.95, 2,982.38 and 1,415.52 is: 1,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.95 : 2,982.38 = 1,415.52 : x
  2. Step 2: Convert to fraction form
    2,160.95/2,982.38 = 1,415.52/x
  3. Step 3: Cross multiply
    2,160.95x = 2,982.38 × 1,415.52
  4. Step 4: Simplify right side
    2,160.95x = 4,221,611.46
  5. Step 5: Solve for x
    x = 4,221,611.46/2,160.95
  6. Step 6: Final answer
    x = 1,953.60

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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.