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Finding the Fourth Proportional to 1,855.34, 2,782.99 and 745.26

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Solution

The fourth proportional to 1,855.34, 2,782.99 and 745.26 is: 1,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.34 : 2,782.99 = 745.26 : x
  2. Step 2: Convert to fraction form
    1,855.34/2,782.99 = 745.26/x
  3. Step 3: Cross multiply
    1,855.34x = 2,782.99 × 745.26
  4. Step 4: Simplify right side
    1,855.34x = 2,074,051.13
  5. Step 5: Solve for x
    x = 2,074,051.13/1,855.34
  6. Step 6: Final answer
    x = 1,117.88

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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.