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Finding the Fourth Proportional to 2,159.96, 2,980 and 1,215.56

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Solution

The fourth proportional to 2,159.96, 2,980 and 1,215.56 is: 1,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.96 : 2,980 = 1,215.56 : x
  2. Step 2: Convert to fraction form
    2,159.96/2,980 = 1,215.56/x
  3. Step 3: Cross multiply
    2,159.96x = 2,980 × 1,215.56
  4. Step 4: Simplify right side
    2,159.96x = 3,622,368.80
  5. Step 5: Solve for x
    x = 3,622,368.80/2,159.96
  6. Step 6: Final answer
    x = 1,677.05

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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.