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Finding the Fourth Proportional to 2,357.27, 3,533.00 and 969.74

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Solution

The fourth proportional to 2,357.27, 3,533.00 and 969.74 is: 1,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.27 : 3,533.00 = 969.74 : x
  2. Step 2: Convert to fraction form
    2,357.27/3,533.00 = 969.74/x
  3. Step 3: Cross multiply
    2,357.27x = 3,533.00 × 969.74
  4. Step 4: Simplify right side
    2,357.27x = 3,426,068.91
  5. Step 5: Solve for x
    x = 3,426,068.91/2,357.27
  6. Step 6: Final answer
    x = 1,453.41

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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.