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Finding the Fourth Proportional to 2,127, 2,935.38 and 1,195.50

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Solution

The fourth proportional to 2,127, 2,935.38 and 1,195.50 is: 1,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127 : 2,935.38 = 1,195.50 : x
  2. Step 2: Convert to fraction form
    2,127/2,935.38 = 1,195.50/x
  3. Step 3: Cross multiply
    2,127x = 2,935.38 × 1,195.50
  4. Step 4: Simplify right side
    2,127x = 3,509,246.79
  5. Step 5: Solve for x
    x = 3,509,246.79/2,127
  6. Step 6: Final answer
    x = 1,649.86

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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.