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Finding the Fourth Proportional to 2,433.56, 3,643.74 and 1,937.64

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Solution

The fourth proportional to 2,433.56, 3,643.74 and 1,937.64 is: 2,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.56 : 3,643.74 = 1,937.64 : x
  2. Step 2: Convert to fraction form
    2,433.56/3,643.74 = 1,937.64/x
  3. Step 3: Cross multiply
    2,433.56x = 3,643.74 × 1,937.64
  4. Step 4: Simplify right side
    2,433.56x = 7,060,256.37
  5. Step 5: Solve for x
    x = 7,060,256.37/2,433.56
  6. Step 6: Final answer
    x = 2,901.20

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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.