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Finding the Fourth Proportional to 2,145.02, 2,958.53 and 1,436.63

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Solution

The fourth proportional to 2,145.02, 2,958.53 and 1,436.63 is: 1,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.02 : 2,958.53 = 1,436.63 : x
  2. Step 2: Convert to fraction form
    2,145.02/2,958.53 = 1,436.63/x
  3. Step 3: Cross multiply
    2,145.02x = 2,958.53 × 1,436.63
  4. Step 4: Simplify right side
    2,145.02x = 4,250,290.98
  5. Step 5: Solve for x
    x = 4,250,290.98/2,145.02
  6. Step 6: Final answer
    x = 1,981.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.