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Finding the Fourth Proportional to 2,189.80, 3,281.70 and 1,407.40

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Solution

The fourth proportional to 2,189.80, 3,281.70 and 1,407.40 is: 2,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.80 : 3,281.70 = 1,407.40 : x
  2. Step 2: Convert to fraction form
    2,189.80/3,281.70 = 1,407.40/x
  3. Step 3: Cross multiply
    2,189.80x = 3,281.70 × 1,407.40
  4. Step 4: Simplify right side
    2,189.80x = 4,618,664.58
  5. Step 5: Solve for x
    x = 4,618,664.58/2,189.80
  6. Step 6: Final answer
    x = 2,109.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.