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Finding the Fourth Proportional to 2,559.16, 3,840.08 and 1,465.64

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Solution

The fourth proportional to 2,559.16, 3,840.08 and 1,465.64 is: 2,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.16 : 3,840.08 = 1,465.64 : x
  2. Step 2: Convert to fraction form
    2,559.16/3,840.08 = 1,465.64/x
  3. Step 3: Cross multiply
    2,559.16x = 3,840.08 × 1,465.64
  4. Step 4: Simplify right side
    2,559.16x = 5,628,174.85
  5. Step 5: Solve for x
    x = 5,628,174.85/2,559.16
  6. Step 6: Final answer
    x = 2,199.23

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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.