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Finding the Fourth Proportional to 2,526.58, 3,788.04 and 1,064.93

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Solution

The fourth proportional to 2,526.58, 3,788.04 and 1,064.93 is: 1,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.58 : 3,788.04 = 1,064.93 : x
  2. Step 2: Convert to fraction form
    2,526.58/3,788.04 = 1,064.93/x
  3. Step 3: Cross multiply
    2,526.58x = 3,788.04 × 1,064.93
  4. Step 4: Simplify right side
    2,526.58x = 4,033,997.44
  5. Step 5: Solve for x
    x = 4,033,997.44/2,526.58
  6. Step 6: Final answer
    x = 1,596.62

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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.