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Finding the Fourth Proportional to 2,985, 4,119.30 and 2,055.12

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Solution

The fourth proportional to 2,985, 4,119.30 and 2,055.12 is: 2,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985 : 4,119.30 = 2,055.12 : x
  2. Step 2: Convert to fraction form
    2,985/4,119.30 = 2,055.12/x
  3. Step 3: Cross multiply
    2,985x = 4,119.30 × 2,055.12
  4. Step 4: Simplify right side
    2,985x = 8,465,655.82
  5. Step 5: Solve for x
    x = 8,465,655.82/2,985
  6. Step 6: Final answer
    x = 2,836.07

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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.