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Finding the Fourth Proportional to 2,352.51, 3,531.04 and 1,257.64

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Solution

The fourth proportional to 2,352.51, 3,531.04 and 1,257.64 is: 1,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.51 : 3,531.04 = 1,257.64 : x
  2. Step 2: Convert to fraction form
    2,352.51/3,531.04 = 1,257.64/x
  3. Step 3: Cross multiply
    2,352.51x = 3,531.04 × 1,257.64
  4. Step 4: Simplify right side
    2,352.51x = 4,440,777.15
  5. Step 5: Solve for x
    x = 4,440,777.15/2,352.51
  6. Step 6: Final answer
    x = 1,887.68

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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.