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Finding the Fourth Proportional to 2,159.74, 2,980.45 and 1,215.55

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Solution

The fourth proportional to 2,159.74, 2,980.45 and 1,215.55 is: 1,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.74 : 2,980.45 = 1,215.55 : x
  2. Step 2: Convert to fraction form
    2,159.74/2,980.45 = 1,215.55/x
  3. Step 3: Cross multiply
    2,159.74x = 2,980.45 × 1,215.55
  4. Step 4: Simplify right side
    2,159.74x = 3,622,878.55
  5. Step 5: Solve for x
    x = 3,622,878.55/2,159.74
  6. Step 6: Final answer
    x = 1,677.46

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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.