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Finding the Fourth Proportional to 3,072.80, 4,598.40 and 2,813.60

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Solution

The fourth proportional to 3,072.80, 4,598.40 and 2,813.60 is: 4,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.80 : 4,598.40 = 2,813.60 : x
  2. Step 2: Convert to fraction form
    3,072.80/4,598.40 = 2,813.60/x
  3. Step 3: Cross multiply
    3,072.80x = 4,598.40 × 2,813.60
  4. Step 4: Simplify right side
    3,072.80x = 12,938,058.24
  5. Step 5: Solve for x
    x = 12,938,058.24/3,072.80
  6. Step 6: Final answer
    x = 4,210.51

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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.