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Finding the Fourth Proportional to 3,072.64, 4,605.96 and 1,430.32

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Solution

The fourth proportional to 3,072.64, 4,605.96 and 1,430.32 is: 2,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.64 : 4,605.96 = 1,430.32 : x
  2. Step 2: Convert to fraction form
    3,072.64/4,605.96 = 1,430.32/x
  3. Step 3: Cross multiply
    3,072.64x = 4,605.96 × 1,430.32
  4. Step 4: Simplify right side
    3,072.64x = 6,587,996.71
  5. Step 5: Solve for x
    x = 6,587,996.71/3,072.64
  6. Step 6: Final answer
    x = 2,144.08

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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.