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Finding the Fourth Proportional to 1,560.35, 2,338.70 and 828.62

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Solution

The fourth proportional to 1,560.35, 2,338.70 and 828.62 is: 1,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.35 : 2,338.70 = 828.62 : x
  2. Step 2: Convert to fraction form
    1,560.35/2,338.70 = 828.62/x
  3. Step 3: Cross multiply
    1,560.35x = 2,338.70 × 828.62
  4. Step 4: Simplify right side
    1,560.35x = 1,937,877.76
  5. Step 5: Solve for x
    x = 1,937,877.76/1,560.35
  6. Step 6: Final answer
    x = 1,241.95

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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.