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Finding the Fourth Proportional to 1,704.90, 2,557.35 and 1,640.10

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Solution

The fourth proportional to 1,704.90, 2,557.35 and 1,640.10 is: 2,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.90 : 2,557.35 = 1,640.10 : x
  2. Step 2: Convert to fraction form
    1,704.90/2,557.35 = 1,640.10/x
  3. Step 3: Cross multiply
    1,704.90x = 2,557.35 × 1,640.10
  4. Step 4: Simplify right side
    1,704.90x = 4,194,309.74
  5. Step 5: Solve for x
    x = 4,194,309.74/1,704.90
  6. Step 6: Final answer
    x = 2,460.15

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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.