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Finding the Fourth Proportional to 2,350.86, 3,526.32 and 1,052.06

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Solution

The fourth proportional to 2,350.86, 3,526.32 and 1,052.06 is: 1,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.86 : 3,526.32 = 1,052.06 : x
  2. Step 2: Convert to fraction form
    2,350.86/3,526.32 = 1,052.06/x
  3. Step 3: Cross multiply
    2,350.86x = 3,526.32 × 1,052.06
  4. Step 4: Simplify right side
    2,350.86x = 3,709,900.22
  5. Step 5: Solve for x
    x = 3,709,900.22/2,350.86
  6. Step 6: Final answer
    x = 1,578.10

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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.