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Finding the Fourth Proportional to 1,536.84, 2,307.60 and 1,486.98

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Solution

The fourth proportional to 1,536.84, 2,307.60 and 1,486.98 is: 2,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.84 : 2,307.60 = 1,486.98 : x
  2. Step 2: Convert to fraction form
    1,536.84/2,307.60 = 1,486.98/x
  3. Step 3: Cross multiply
    1,536.84x = 2,307.60 × 1,486.98
  4. Step 4: Simplify right side
    1,536.84x = 3,431,355.05
  5. Step 5: Solve for x
    x = 3,431,355.05/1,536.84
  6. Step 6: Final answer
    x = 2,232.73

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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.