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Finding the Fourth Proportional to 2,293.63, 3,430.80 and 2,127.44

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Solution

The fourth proportional to 2,293.63, 3,430.80 and 2,127.44 is: 3,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.63 : 3,430.80 = 2,127.44 : x
  2. Step 2: Convert to fraction form
    2,293.63/3,430.80 = 2,127.44/x
  3. Step 3: Cross multiply
    2,293.63x = 3,430.80 × 2,127.44
  4. Step 4: Simplify right side
    2,293.63x = 7,298,821.15
  5. Step 5: Solve for x
    x = 7,298,821.15/2,293.63
  6. Step 6: Final answer
    x = 3,182.21

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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.