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Finding the Fourth Proportional to 2,681.20, 4,019.64 and 2,465.20

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Solution

The fourth proportional to 2,681.20, 4,019.64 and 2,465.20 is: 3,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.20 : 4,019.64 = 2,465.20 : x
  2. Step 2: Convert to fraction form
    2,681.20/4,019.64 = 2,465.20/x
  3. Step 3: Cross multiply
    2,681.20x = 4,019.64 × 2,465.20
  4. Step 4: Simplify right side
    2,681.20x = 9,909,216.53
  5. Step 5: Solve for x
    x = 9,909,216.53/2,681.20
  6. Step 6: Final answer
    x = 3,695.81

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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.