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Finding the Fourth Proportional to 2,352.48, 3,528.21 and 964.45

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Solution

The fourth proportional to 2,352.48, 3,528.21 and 964.45 is: 1,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.48 : 3,528.21 = 964.45 : x
  2. Step 2: Convert to fraction form
    2,352.48/3,528.21 = 964.45/x
  3. Step 3: Cross multiply
    2,352.48x = 3,528.21 × 964.45
  4. Step 4: Simplify right side
    2,352.48x = 3,402,777.31
  5. Step 5: Solve for x
    x = 3,402,777.31/2,352.48
  6. Step 6: Final answer
    x = 1,446.46

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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.