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Finding the Fourth Proportional to 2,360.95, 3,534.43 and 1,433.71

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Solution

The fourth proportional to 2,360.95, 3,534.43 and 1,433.71 is: 2,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.95 : 3,534.43 = 1,433.71 : x
  2. Step 2: Convert to fraction form
    2,360.95/3,534.43 = 1,433.71/x
  3. Step 3: Cross multiply
    2,360.95x = 3,534.43 × 1,433.71
  4. Step 4: Simplify right side
    2,360.95x = 5,067,347.64
  5. Step 5: Solve for x
    x = 5,067,347.64/2,360.95
  6. Step 6: Final answer
    x = 2,146.32

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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.