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Finding the Fourth Proportional to 2,352.46, 3,528.63 and 621.10

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Solution

The fourth proportional to 2,352.46, 3,528.63 and 621.10 is: 931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.46 : 3,528.63 = 621.10 : x
  2. Step 2: Convert to fraction form
    2,352.46/3,528.63 = 621.10/x
  3. Step 3: Cross multiply
    2,352.46x = 3,528.63 × 621.10
  4. Step 4: Simplify right side
    2,352.46x = 2,191,632.09
  5. Step 5: Solve for x
    x = 2,191,632.09/2,352.46
  6. Step 6: Final answer
    x = 931.63

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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.