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Finding the Fourth Proportional to 1,653.68, 2,468.38 and 1,533.50

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Solution

The fourth proportional to 1,653.68, 2,468.38 and 1,533.50 is: 2,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.68 : 2,468.38 = 1,533.50 : x
  2. Step 2: Convert to fraction form
    1,653.68/2,468.38 = 1,533.50/x
  3. Step 3: Cross multiply
    1,653.68x = 2,468.38 × 1,533.50
  4. Step 4: Simplify right side
    1,653.68x = 3,785,260.73
  5. Step 5: Solve for x
    x = 3,785,260.73/1,653.68
  6. Step 6: Final answer
    x = 2,288.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.