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Finding the Fourth Proportional to 3,261.80, 4,893.90 and 1,315.40

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Solution

The fourth proportional to 3,261.80, 4,893.90 and 1,315.40 is: 1,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.80 : 4,893.90 = 1,315.40 : x
  2. Step 2: Convert to fraction form
    3,261.80/4,893.90 = 1,315.40/x
  3. Step 3: Cross multiply
    3,261.80x = 4,893.90 × 1,315.40
  4. Step 4: Simplify right side
    3,261.80x = 6,437,436.06
  5. Step 5: Solve for x
    x = 6,437,436.06/3,261.80
  6. Step 6: Final answer
    x = 1,973.58

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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.