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Finding the Fourth Proportional to 3,240.68, 4,853.10 and 1,509.80

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Solution

The fourth proportional to 3,240.68, 4,853.10 and 1,509.80 is: 2,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.68 : 4,853.10 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    3,240.68/4,853.10 = 1,509.80/x
  3. Step 3: Cross multiply
    3,240.68x = 4,853.10 × 1,509.80
  4. Step 4: Simplify right side
    3,240.68x = 7,327,210.38
  5. Step 5: Solve for x
    x = 7,327,210.38/3,240.68
  6. Step 6: Final answer
    x = 2,261.01

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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.