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Finding the Fourth Proportional to 2,432.94, 3,643.11 and 1,772.10

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Solution

The fourth proportional to 2,432.94, 3,643.11 and 1,772.10 is: 2,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.94 : 3,643.11 = 1,772.10 : x
  2. Step 2: Convert to fraction form
    2,432.94/3,643.11 = 1,772.10/x
  3. Step 3: Cross multiply
    2,432.94x = 3,643.11 × 1,772.10
  4. Step 4: Simplify right side
    2,432.94x = 6,455,955.23
  5. Step 5: Solve for x
    x = 6,455,955.23/2,432.94
  6. Step 6: Final answer
    x = 2,653.56

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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.