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Finding the Fourth Proportional to 3,261.90, 4,895.55 and 1,509.60

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Solution

The fourth proportional to 3,261.90, 4,895.55 and 1,509.60 is: 2,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.90 : 4,895.55 = 1,509.60 : x
  2. Step 2: Convert to fraction form
    3,261.90/4,895.55 = 1,509.60/x
  3. Step 3: Cross multiply
    3,261.90x = 4,895.55 × 1,509.60
  4. Step 4: Simplify right side
    3,261.90x = 7,390,322.28
  5. Step 5: Solve for x
    x = 7,390,322.28/3,261.90
  6. Step 6: Final answer
    x = 2,265.65

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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.