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Finding the Fourth Proportional to 1,566.50, 2,152.95 and 1,522.76

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Solution

The fourth proportional to 1,566.50, 2,152.95 and 1,522.76 is: 2,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.50 : 2,152.95 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    1,566.50/2,152.95 = 1,522.76/x
  3. Step 3: Cross multiply
    1,566.50x = 2,152.95 × 1,522.76
  4. Step 4: Simplify right side
    1,566.50x = 3,278,426.14
  5. Step 5: Solve for x
    x = 3,278,426.14/1,566.50
  6. Step 6: Final answer
    x = 2,092.84

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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.