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Finding the Fourth Proportional to 1,739.14, 2,606.88 and 642.80

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Solution

The fourth proportional to 1,739.14, 2,606.88 and 642.80 is: 963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.14 : 2,606.88 = 642.80 : x
  2. Step 2: Convert to fraction form
    1,739.14/2,606.88 = 642.80/x
  3. Step 3: Cross multiply
    1,739.14x = 2,606.88 × 642.80
  4. Step 4: Simplify right side
    1,739.14x = 1,675,702.46
  5. Step 5: Solve for x
    x = 1,675,702.46/1,739.14
  6. Step 6: Final answer
    x = 963.52

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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.