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Finding the Fourth Proportional to 2,270.90, 3,134.40 and 1,386.99

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Solution

The fourth proportional to 2,270.90, 3,134.40 and 1,386.99 is: 1,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.90 : 3,134.40 = 1,386.99 : x
  2. Step 2: Convert to fraction form
    2,270.90/3,134.40 = 1,386.99/x
  3. Step 3: Cross multiply
    2,270.90x = 3,134.40 × 1,386.99
  4. Step 4: Simplify right side
    2,270.90x = 4,347,376.25
  5. Step 5: Solve for x
    x = 4,347,376.25/2,270.90
  6. Step 6: Final answer
    x = 1,914.38

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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.