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Finding the Fourth Proportional to 3,012.60, 4,519.02 and 1,430.94

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Solution

The fourth proportional to 3,012.60, 4,519.02 and 1,430.94 is: 2,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.60 : 4,519.02 = 1,430.94 : x
  2. Step 2: Convert to fraction form
    3,012.60/4,519.02 = 1,430.94/x
  3. Step 3: Cross multiply
    3,012.60x = 4,519.02 × 1,430.94
  4. Step 4: Simplify right side
    3,012.60x = 6,466,446.48
  5. Step 5: Solve for x
    x = 6,466,446.48/3,012.60
  6. Step 6: Final answer
    x = 2,146.47

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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.