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Finding the Fourth Proportional to 1,618.02, 2,426.52 and 1,032.20

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Solution

The fourth proportional to 1,618.02, 2,426.52 and 1,032.20 is: 1,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.02 : 2,426.52 = 1,032.20 : x
  2. Step 2: Convert to fraction form
    1,618.02/2,426.52 = 1,032.20/x
  3. Step 3: Cross multiply
    1,618.02x = 2,426.52 × 1,032.20
  4. Step 4: Simplify right side
    1,618.02x = 2,504,653.94
  5. Step 5: Solve for x
    x = 2,504,653.94/1,618.02
  6. Step 6: Final answer
    x = 1,547.97

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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.