Home / 1,583.76-2,186.80-1,233.84

Finding the Fourth Proportional to 1,583.76, 2,186.80 and 1,233.84

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Solution

The fourth proportional to 1,583.76, 2,186.80 and 1,233.84 is: 1,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.76 : 2,186.80 = 1,233.84 : x
  2. Step 2: Convert to fraction form
    1,583.76/2,186.80 = 1,233.84/x
  3. Step 3: Cross multiply
    1,583.76x = 2,186.80 × 1,233.84
  4. Step 4: Simplify right side
    1,583.76x = 2,698,161.31
  5. Step 5: Solve for x
    x = 2,698,161.31/1,583.76
  6. Step 6: Final answer
    x = 1,703.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.