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Finding the Fourth Proportional to 2,159.77, 2,979.72 and 1,215.41

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Solution

The fourth proportional to 2,159.77, 2,979.72 and 1,215.41 is: 1,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.77 : 2,979.72 = 1,215.41 : x
  2. Step 2: Convert to fraction form
    2,159.77/2,979.72 = 1,215.41/x
  3. Step 3: Cross multiply
    2,159.77x = 2,979.72 × 1,215.41
  4. Step 4: Simplify right side
    2,159.77x = 3,621,569.63
  5. Step 5: Solve for x
    x = 3,621,569.63/2,159.77
  6. Step 6: Final answer
    x = 1,676.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.