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Finding the Fourth Proportional to 1,570.82, 2,356.40 and 1,185.66

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Solution

The fourth proportional to 1,570.82, 2,356.40 and 1,185.66 is: 1,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.82 : 2,356.40 = 1,185.66 : x
  2. Step 2: Convert to fraction form
    1,570.82/2,356.40 = 1,185.66/x
  3. Step 3: Cross multiply
    1,570.82x = 2,356.40 × 1,185.66
  4. Step 4: Simplify right side
    1,570.82x = 2,793,889.22
  5. Step 5: Solve for x
    x = 2,793,889.22/1,570.82
  6. Step 6: Final answer
    x = 1,778.62

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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.