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Finding the Fourth Proportional to 2,159.55, 2,983.02 and 1,741.50

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Solution

The fourth proportional to 2,159.55, 2,983.02 and 1,741.50 is: 2,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.55 : 2,983.02 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    2,159.55/2,983.02 = 1,741.50/x
  3. Step 3: Cross multiply
    2,159.55x = 2,983.02 × 1,741.50
  4. Step 4: Simplify right side
    2,159.55x = 5,194,929.33
  5. Step 5: Solve for x
    x = 5,194,929.33/2,159.55
  6. Step 6: Final answer
    x = 2,405.56

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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.