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Finding the Fourth Proportional to 3,109.63, 4,290.96 and 1,765.30

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Solution

The fourth proportional to 3,109.63, 4,290.96 and 1,765.30 is: 2,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.63 : 4,290.96 = 1,765.30 : x
  2. Step 2: Convert to fraction form
    3,109.63/4,290.96 = 1,765.30/x
  3. Step 3: Cross multiply
    3,109.63x = 4,290.96 × 1,765.30
  4. Step 4: Simplify right side
    3,109.63x = 7,574,831.69
  5. Step 5: Solve for x
    x = 7,574,831.69/3,109.63
  6. Step 6: Final answer
    x = 2,435.93

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