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Finding the Fourth Proportional to 1,633.24, 2,253.75 and 925.15

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Solution

The fourth proportional to 1,633.24, 2,253.75 and 925.15 is: 1,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.24 : 2,253.75 = 925.15 : x
  2. Step 2: Convert to fraction form
    1,633.24/2,253.75 = 925.15/x
  3. Step 3: Cross multiply
    1,633.24x = 2,253.75 × 925.15
  4. Step 4: Simplify right side
    1,633.24x = 2,085,056.81
  5. Step 5: Solve for x
    x = 2,085,056.81/1,633.24
  6. Step 6: Final answer
    x = 1,276.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.