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Finding the Fourth Proportional to 2,168.08, 2,989.40 and 2,051.30

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Solution

The fourth proportional to 2,168.08, 2,989.40 and 2,051.30 is: 2,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.08 : 2,989.40 = 2,051.30 : x
  2. Step 2: Convert to fraction form
    2,168.08/2,989.40 = 2,051.30/x
  3. Step 3: Cross multiply
    2,168.08x = 2,989.40 × 2,051.30
  4. Step 4: Simplify right side
    2,168.08x = 6,132,156.22
  5. Step 5: Solve for x
    x = 6,132,156.22/2,168.08
  6. Step 6: Final answer
    x = 2,828.38

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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.