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Finding the Fourth Proportional to 2,978.80, 4,110.84 and 1,652.63

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Solution

The fourth proportional to 2,978.80, 4,110.84 and 1,652.63 is: 2,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.80 : 4,110.84 = 1,652.63 : x
  2. Step 2: Convert to fraction form
    2,978.80/4,110.84 = 1,652.63/x
  3. Step 3: Cross multiply
    2,978.80x = 4,110.84 × 1,652.63
  4. Step 4: Simplify right side
    2,978.80x = 6,793,697.51
  5. Step 5: Solve for x
    x = 6,793,697.51/2,978.80
  6. Step 6: Final answer
    x = 2,280.68

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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.