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Finding the Fourth Proportional to 1,758.60, 2,638.82 and 1,275.64

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Solution

The fourth proportional to 1,758.60, 2,638.82 and 1,275.64 is: 1,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.60 : 2,638.82 = 1,275.64 : x
  2. Step 2: Convert to fraction form
    1,758.60/2,638.82 = 1,275.64/x
  3. Step 3: Cross multiply
    1,758.60x = 2,638.82 × 1,275.64
  4. Step 4: Simplify right side
    1,758.60x = 3,366,190.83
  5. Step 5: Solve for x
    x = 3,366,190.83/1,758.60
  6. Step 6: Final answer
    x = 1,914.13

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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.