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Finding the Fourth Proportional to 2,980.08, 4,111.02 and 1,985.40

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Solution

The fourth proportional to 2,980.08, 4,111.02 and 1,985.40 is: 2,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.08 : 4,111.02 = 1,985.40 : x
  2. Step 2: Convert to fraction form
    2,980.08/4,111.02 = 1,985.40/x
  3. Step 3: Cross multiply
    2,980.08x = 4,111.02 × 1,985.40
  4. Step 4: Simplify right side
    2,980.08x = 8,162,019.11
  5. Step 5: Solve for x
    x = 8,162,019.11/2,980.08
  6. Step 6: Final answer
    x = 2,738.86

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Why These Related Problems?

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