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Finding the Fourth Proportional to 2,978.76, 4,110.62 and 1,652.46

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Solution

The fourth proportional to 2,978.76, 4,110.62 and 1,652.46 is: 2,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.76 : 4,110.62 = 1,652.46 : x
  2. Step 2: Convert to fraction form
    2,978.76/4,110.62 = 1,652.46/x
  3. Step 3: Cross multiply
    2,978.76x = 4,110.62 × 1,652.46
  4. Step 4: Simplify right side
    2,978.76x = 6,792,635.13
  5. Step 5: Solve for x
    x = 6,792,635.13/2,978.76
  6. Step 6: Final answer
    x = 2,280.36

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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.