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Finding the Fourth Proportional to 3,109.36, 4,290.78 and 1,782.99

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Solution

The fourth proportional to 3,109.36, 4,290.78 and 1,782.99 is: 2,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.36 : 4,290.78 = 1,782.99 : x
  2. Step 2: Convert to fraction form
    3,109.36/4,290.78 = 1,782.99/x
  3. Step 3: Cross multiply
    3,109.36x = 4,290.78 × 1,782.99
  4. Step 4: Simplify right side
    3,109.36x = 7,650,417.83
  5. Step 5: Solve for x
    x = 7,650,417.83/3,109.36
  6. Step 6: Final answer
    x = 2,460.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.