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Finding the Fourth Proportional to 2,426.76, 3,643.47 and 1,257.72

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Solution

The fourth proportional to 2,426.76, 3,643.47 and 1,257.72 is: 1,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.76 : 3,643.47 = 1,257.72 : x
  2. Step 2: Convert to fraction form
    2,426.76/3,643.47 = 1,257.72/x
  3. Step 3: Cross multiply
    2,426.76x = 3,643.47 × 1,257.72
  4. Step 4: Simplify right side
    2,426.76x = 4,582,465.09
  5. Step 5: Solve for x
    x = 4,582,465.09/2,426.76
  6. Step 6: Final answer
    x = 1,888.31

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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.