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Finding the Fourth Proportional to 1,566.96, 2,159.88 and 1,062.65

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Solution

The fourth proportional to 1,566.96, 2,159.88 and 1,062.65 is: 1,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.96 : 2,159.88 = 1,062.65 : x
  2. Step 2: Convert to fraction form
    1,566.96/2,159.88 = 1,062.65/x
  3. Step 3: Cross multiply
    1,566.96x = 2,159.88 × 1,062.65
  4. Step 4: Simplify right side
    1,566.96x = 2,295,185.68
  5. Step 5: Solve for x
    x = 2,295,185.68/1,566.96
  6. Step 6: Final answer
    x = 1,464.74

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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.