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Finding the Fourth Proportional to 2,017.54, 2,784.57 and 1,428.10

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Solution

The fourth proportional to 2,017.54, 2,784.57 and 1,428.10 is: 1,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.54 : 2,784.57 = 1,428.10 : x
  2. Step 2: Convert to fraction form
    2,017.54/2,784.57 = 1,428.10/x
  3. Step 3: Cross multiply
    2,017.54x = 2,784.57 × 1,428.10
  4. Step 4: Simplify right side
    2,017.54x = 3,976,644.42
  5. Step 5: Solve for x
    x = 3,976,644.42/2,017.54
  6. Step 6: Final answer
    x = 1,971.04

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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.