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Finding the Fourth Proportional to 1,566.61, 2,160.12 and 1,069.54

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Solution

The fourth proportional to 1,566.61, 2,160.12 and 1,069.54 is: 1,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.61 : 2,160.12 = 1,069.54 : x
  2. Step 2: Convert to fraction form
    1,566.61/2,160.12 = 1,069.54/x
  3. Step 3: Cross multiply
    1,566.61x = 2,160.12 × 1,069.54
  4. Step 4: Simplify right side
    1,566.61x = 2,310,334.74
  5. Step 5: Solve for x
    x = 2,310,334.74/1,566.61
  6. Step 6: Final answer
    x = 1,474.74

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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.