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Finding the Fourth Proportional to 1,365.56, 1,884.72 and 841.64

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Solution

The fourth proportional to 1,365.56, 1,884.72 and 841.64 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.56 : 1,884.72 = 841.64 : x
  2. Step 2: Convert to fraction form
    1,365.56/1,884.72 = 841.64/x
  3. Step 3: Cross multiply
    1,365.56x = 1,884.72 × 841.64
  4. Step 4: Simplify right side
    1,365.56x = 1,586,255.74
  5. Step 5: Solve for x
    x = 1,586,255.74/1,365.56
  6. Step 6: Final answer
    x = 1,161.62

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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.