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Finding the Fourth Proportional to 2,151.40, 2,969.62 and 1,655.68

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Solution

The fourth proportional to 2,151.40, 2,969.62 and 1,655.68 is: 2,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.40 : 2,969.62 = 1,655.68 : x
  2. Step 2: Convert to fraction form
    2,151.40/2,969.62 = 1,655.68/x
  3. Step 3: Cross multiply
    2,151.40x = 2,969.62 × 1,655.68
  4. Step 4: Simplify right side
    2,151.40x = 4,916,740.44
  5. Step 5: Solve for x
    x = 4,916,740.44/2,151.40
  6. Step 6: Final answer
    x = 2,285.37

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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.