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Finding the Fourth Proportional to 2,124.60, 2,933.34 and 1,977.60

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Solution

The fourth proportional to 2,124.60, 2,933.34 and 1,977.60 is: 2,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.60 : 2,933.34 = 1,977.60 : x
  2. Step 2: Convert to fraction form
    2,124.60/2,933.34 = 1,977.60/x
  3. Step 3: Cross multiply
    2,124.60x = 2,933.34 × 1,977.60
  4. Step 4: Simplify right side
    2,124.60x = 5,800,973.18
  5. Step 5: Solve for x
    x = 5,800,973.18/2,124.60
  6. Step 6: Final answer
    x = 2,730.38

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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.