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Finding the Fourth Proportional to 2,294.55, 3,437.73 and 1,561.50

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Solution

The fourth proportional to 2,294.55, 3,437.73 and 1,561.50 is: 2,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.55 : 3,437.73 = 1,561.50 : x
  2. Step 2: Convert to fraction form
    2,294.55/3,437.73 = 1,561.50/x
  3. Step 3: Cross multiply
    2,294.55x = 3,437.73 × 1,561.50
  4. Step 4: Simplify right side
    2,294.55x = 5,368,015.40
  5. Step 5: Solve for x
    x = 5,368,015.40/2,294.55
  6. Step 6: Final answer
    x = 2,339.46

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Why These Related Problems?

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