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Finding the Fourth Proportional to 2,357.42, 3,533.29 and 968.88

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Solution

The fourth proportional to 2,357.42, 3,533.29 and 968.88 is: 1,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.42 : 3,533.29 = 968.88 : x
  2. Step 2: Convert to fraction form
    2,357.42/3,533.29 = 968.88/x
  3. Step 3: Cross multiply
    2,357.42x = 3,533.29 × 968.88
  4. Step 4: Simplify right side
    2,357.42x = 3,423,334.02
  5. Step 5: Solve for x
    x = 3,423,334.02/2,357.42
  6. Step 6: Final answer
    x = 1,452.15

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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.