Home / 1,782.66-2,458.80-1,310.70

Finding the Fourth Proportional to 1,782.66, 2,458.80 and 1,310.70

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Solution

The fourth proportional to 1,782.66, 2,458.80 and 1,310.70 is: 1,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.66 : 2,458.80 = 1,310.70 : x
  2. Step 2: Convert to fraction form
    1,782.66/2,458.80 = 1,310.70/x
  3. Step 3: Cross multiply
    1,782.66x = 2,458.80 × 1,310.70
  4. Step 4: Simplify right side
    1,782.66x = 3,222,749.16
  5. Step 5: Solve for x
    x = 3,222,749.16/1,782.66
  6. Step 6: Final answer
    x = 1,807.83

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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.