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Finding the Fourth Proportional to 2,415.42, 3,616.98 and 1,535.22

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Solution

The fourth proportional to 2,415.42, 3,616.98 and 1,535.22 is: 2,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.42 : 3,616.98 = 1,535.22 : x
  2. Step 2: Convert to fraction form
    2,415.42/3,616.98 = 1,535.22/x
  3. Step 3: Cross multiply
    2,415.42x = 3,616.98 × 1,535.22
  4. Step 4: Simplify right side
    2,415.42x = 5,552,860.04
  5. Step 5: Solve for x
    x = 5,552,860.04/2,415.42
  6. Step 6: Final answer
    x = 2,298.92

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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.