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Finding the Fourth Proportional to 2,352.72, 3,530.22 and 1,312.68

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Solution

The fourth proportional to 2,352.72, 3,530.22 and 1,312.68 is: 1,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.72 : 3,530.22 = 1,312.68 : x
  2. Step 2: Convert to fraction form
    2,352.72/3,530.22 = 1,312.68/x
  3. Step 3: Cross multiply
    2,352.72x = 3,530.22 × 1,312.68
  4. Step 4: Simplify right side
    2,352.72x = 4,634,049.19
  5. Step 5: Solve for x
    x = 4,634,049.19/2,352.72
  6. Step 6: Final answer
    x = 1,969.66

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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.