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Finding the Fourth Proportional to 1,704.30, 2,569.04 and 1,563.90

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Solution

The fourth proportional to 1,704.30, 2,569.04 and 1,563.90 is: 2,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.30 : 2,569.04 = 1,563.90 : x
  2. Step 2: Convert to fraction form
    1,704.30/2,569.04 = 1,563.90/x
  3. Step 3: Cross multiply
    1,704.30x = 2,569.04 × 1,563.90
  4. Step 4: Simplify right side
    1,704.30x = 4,017,721.66
  5. Step 5: Solve for x
    x = 4,017,721.66/1,704.30
  6. Step 6: Final answer
    x = 2,357.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.