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Finding the Fourth Proportional to 2,978.30, 4,110.10 and 1,652.06

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Solution

The fourth proportional to 2,978.30, 4,110.10 and 1,652.06 is: 2,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.30 : 4,110.10 = 1,652.06 : x
  2. Step 2: Convert to fraction form
    2,978.30/4,110.10 = 1,652.06/x
  3. Step 3: Cross multiply
    2,978.30x = 4,110.10 × 1,652.06
  4. Step 4: Simplify right side
    2,978.30x = 6,790,131.81
  5. Step 5: Solve for x
    x = 6,790,131.81/2,978.30
  6. Step 6: Final answer
    x = 2,279.87

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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.