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Finding the Fourth Proportional to 1,955.72, 2,933.62 and 569.19

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Solution

The fourth proportional to 1,955.72, 2,933.62 and 569.19 is: 853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.72 : 2,933.62 = 569.19 : x
  2. Step 2: Convert to fraction form
    1,955.72/2,933.62 = 569.19/x
  3. Step 3: Cross multiply
    1,955.72x = 2,933.62 × 569.19
  4. Step 4: Simplify right side
    1,955.72x = 1,669,787.17
  5. Step 5: Solve for x
    x = 1,669,787.17/1,955.72
  6. Step 6: Final answer
    x = 853.80

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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.