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Finding the Fourth Proportional to 2,985.80, 4,119.78 and 1,743.80

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Solution

The fourth proportional to 2,985.80, 4,119.78 and 1,743.80 is: 2,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.80 : 4,119.78 = 1,743.80 : x
  2. Step 2: Convert to fraction form
    2,985.80/4,119.78 = 1,743.80/x
  3. Step 3: Cross multiply
    2,985.80x = 4,119.78 × 1,743.80
  4. Step 4: Simplify right side
    2,985.80x = 7,184,072.36
  5. Step 5: Solve for x
    x = 7,184,072.36/2,985.80
  6. Step 6: Final answer
    x = 2,406.08

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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.