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Finding the Fourth Proportional to 2,978.34, 4,110 and 1,652.02

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Solution

The fourth proportional to 2,978.34, 4,110 and 1,652.02 is: 2,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.34 : 4,110 = 1,652.02 : x
  2. Step 2: Convert to fraction form
    2,978.34/4,110 = 1,652.02/x
  3. Step 3: Cross multiply
    2,978.34x = 4,110 × 1,652.02
  4. Step 4: Simplify right side
    2,978.34x = 6,789,802.20
  5. Step 5: Solve for x
    x = 6,789,802.20/2,978.34
  6. Step 6: Final answer
    x = 2,279.73

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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.