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Finding the Fourth Proportional to 1,570.59, 2,167.46 and 941.22

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Solution

The fourth proportional to 1,570.59, 2,167.46 and 941.22 is: 1,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.59 : 2,167.46 = 941.22 : x
  2. Step 2: Convert to fraction form
    1,570.59/2,167.46 = 941.22/x
  3. Step 3: Cross multiply
    1,570.59x = 2,167.46 × 941.22
  4. Step 4: Simplify right side
    1,570.59x = 2,040,055.52
  5. Step 5: Solve for x
    x = 2,040,055.52/1,570.59
  6. Step 6: Final answer
    x = 1,298.91

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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.