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Finding the Fourth Proportional to 2,352.76, 3,529.16 and 621.16

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Solution

The fourth proportional to 2,352.76, 3,529.16 and 621.16 is: 931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.76 : 3,529.16 = 621.16 : x
  2. Step 2: Convert to fraction form
    2,352.76/3,529.16 = 621.16/x
  3. Step 3: Cross multiply
    2,352.76x = 3,529.16 × 621.16
  4. Step 4: Simplify right side
    2,352.76x = 2,192,173.03
  5. Step 5: Solve for x
    x = 2,192,173.03/2,352.76
  6. Step 6: Final answer
    x = 931.75

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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.