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Finding the Fourth Proportional to 1,758.14, 2,637.04 and 1,064.62

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Solution

The fourth proportional to 1,758.14, 2,637.04 and 1,064.62 is: 1,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.14 : 2,637.04 = 1,064.62 : x
  2. Step 2: Convert to fraction form
    1,758.14/2,637.04 = 1,064.62/x
  3. Step 3: Cross multiply
    1,758.14x = 2,637.04 × 1,064.62
  4. Step 4: Simplify right side
    1,758.14x = 2,807,461.92
  5. Step 5: Solve for x
    x = 2,807,461.92/1,758.14
  6. Step 6: Final answer
    x = 1,596.83

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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.