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Finding the Fourth Proportional to 2,159.74, 3,238.58 and 1,235.05

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Solution

The fourth proportional to 2,159.74, 3,238.58 and 1,235.05 is: 1,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.74 : 3,238.58 = 1,235.05 : x
  2. Step 2: Convert to fraction form
    2,159.74/3,238.58 = 1,235.05/x
  3. Step 3: Cross multiply
    2,159.74x = 3,238.58 × 1,235.05
  4. Step 4: Simplify right side
    2,159.74x = 3,999,803.22
  5. Step 5: Solve for x
    x = 3,999,803.22/2,159.74
  6. Step 6: Final answer
    x = 1,851.99

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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.