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Finding the Fourth Proportional to 2,878.36, 4,317.23 and 1,782.43

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Solution

The fourth proportional to 2,878.36, 4,317.23 and 1,782.43 is: 2,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.36 : 4,317.23 = 1,782.43 : x
  2. Step 2: Convert to fraction form
    2,878.36/4,317.23 = 1,782.43/x
  3. Step 3: Cross multiply
    2,878.36x = 4,317.23 × 1,782.43
  4. Step 4: Simplify right side
    2,878.36x = 7,695,153.93
  5. Step 5: Solve for x
    x = 7,695,153.93/2,878.36
  6. Step 6: Final answer
    x = 2,673.45

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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.