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Finding the Fourth Proportional to 2,305.40, 3,452.70 and 1,430.60

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Solution

The fourth proportional to 2,305.40, 3,452.70 and 1,430.60 is: 2,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.40 : 3,452.70 = 1,430.60 : x
  2. Step 2: Convert to fraction form
    2,305.40/3,452.70 = 1,430.60/x
  3. Step 3: Cross multiply
    2,305.40x = 3,452.70 × 1,430.60
  4. Step 4: Simplify right side
    2,305.40x = 4,939,432.62
  5. Step 5: Solve for x
    x = 4,939,432.62/2,305.40
  6. Step 6: Final answer
    x = 2,142.55

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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.