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Finding the Fourth Proportional to 1,555.36, 2,332.96 and 581.39

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Solution

The fourth proportional to 1,555.36, 2,332.96 and 581.39 is: 872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.36 : 2,332.96 = 581.39 : x
  2. Step 2: Convert to fraction form
    1,555.36/2,332.96 = 581.39/x
  3. Step 3: Cross multiply
    1,555.36x = 2,332.96 × 581.39
  4. Step 4: Simplify right side
    1,555.36x = 1,356,359.61
  5. Step 5: Solve for x
    x = 1,356,359.61/1,555.36
  6. Step 6: Final answer
    x = 872.06

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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.