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Finding the Fourth Proportional to 1,555.40, 2,332.86 and 581.33

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Solution

The fourth proportional to 1,555.40, 2,332.86 and 581.33 is: 871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.40 : 2,332.86 = 581.33 : x
  2. Step 2: Convert to fraction form
    1,555.40/2,332.86 = 581.33/x
  3. Step 3: Cross multiply
    1,555.40x = 2,332.86 × 581.33
  4. Step 4: Simplify right side
    1,555.40x = 1,356,161.50
  5. Step 5: Solve for x
    x = 1,356,161.50/1,555.40
  6. Step 6: Final answer
    x = 871.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.