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Finding the Fourth Proportional to 2,980.71, 4,109.58 and 2,130.96

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Solution

The fourth proportional to 2,980.71, 4,109.58 and 2,130.96 is: 2,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.71 : 4,109.58 = 2,130.96 : x
  2. Step 2: Convert to fraction form
    2,980.71/4,109.58 = 2,130.96/x
  3. Step 3: Cross multiply
    2,980.71x = 4,109.58 × 2,130.96
  4. Step 4: Simplify right side
    2,980.71x = 8,757,350.60
  5. Step 5: Solve for x
    x = 8,757,350.60/2,980.71
  6. Step 6: Final answer
    x = 2,938.01

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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.