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Finding the Fourth Proportional to 2,159.66, 2,980.35 and 1,228.16

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Solution

The fourth proportional to 2,159.66, 2,980.35 and 1,228.16 is: 1,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.66 : 2,980.35 = 1,228.16 : x
  2. Step 2: Convert to fraction form
    2,159.66/2,980.35 = 1,228.16/x
  3. Step 3: Cross multiply
    2,159.66x = 2,980.35 × 1,228.16
  4. Step 4: Simplify right side
    2,159.66x = 3,660,325.61
  5. Step 5: Solve for x
    x = 3,660,325.61/2,159.66
  6. Step 6: Final answer
    x = 1,694.87

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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.