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Finding the Fourth Proportional to 3,072.86, 4,612.56 and 1,430.99

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Solution

The fourth proportional to 3,072.86, 4,612.56 and 1,430.99 is: 2,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.86 : 4,612.56 = 1,430.99 : x
  2. Step 2: Convert to fraction form
    3,072.86/4,612.56 = 1,430.99/x
  3. Step 3: Cross multiply
    3,072.86x = 4,612.56 × 1,430.99
  4. Step 4: Simplify right side
    3,072.86x = 6,600,527.23
  5. Step 5: Solve for x
    x = 6,600,527.23/3,072.86
  6. Step 6: Final answer
    x = 2,148.01

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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.