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Finding the Fourth Proportional to 2,128.86, 2,938.95 and 1,606.14

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Solution

The fourth proportional to 2,128.86, 2,938.95 and 1,606.14 is: 2,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.86 : 2,938.95 = 1,606.14 : x
  2. Step 2: Convert to fraction form
    2,128.86/2,938.95 = 1,606.14/x
  3. Step 3: Cross multiply
    2,128.86x = 2,938.95 × 1,606.14
  4. Step 4: Simplify right side
    2,128.86x = 4,720,365.15
  5. Step 5: Solve for x
    x = 4,720,365.15/2,128.86
  6. Step 6: Final answer
    x = 2,217.32

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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.