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Finding the Fourth Proportional to 2,159.10, 3,235.56 and 986.22

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Solution

The fourth proportional to 2,159.10, 3,235.56 and 986.22 is: 1,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.10 : 3,235.56 = 986.22 : x
  2. Step 2: Convert to fraction form
    2,159.10/3,235.56 = 986.22/x
  3. Step 3: Cross multiply
    2,159.10x = 3,235.56 × 986.22
  4. Step 4: Simplify right side
    2,159.10x = 3,190,973.98
  5. Step 5: Solve for x
    x = 3,190,973.98/2,159.10
  6. Step 6: Final answer
    x = 1,477.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.