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Finding the Fourth Proportional to 1,441.88, 1,981.16 and 1,146.63

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Solution

The fourth proportional to 1,441.88, 1,981.16 and 1,146.63 is: 1,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.88 : 1,981.16 = 1,146.63 : x
  2. Step 2: Convert to fraction form
    1,441.88/1,981.16 = 1,146.63/x
  3. Step 3: Cross multiply
    1,441.88x = 1,981.16 × 1,146.63
  4. Step 4: Simplify right side
    1,441.88x = 2,271,657.49
  5. Step 5: Solve for x
    x = 2,271,657.49/1,441.88
  6. Step 6: Final answer
    x = 1,575.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.