Home / 1,656.42-2,284.66-1,027.31

Finding the Fourth Proportional to 1,656.42, 2,284.66 and 1,027.31

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Solution

The fourth proportional to 1,656.42, 2,284.66 and 1,027.31 is: 1,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.42 : 2,284.66 = 1,027.31 : x
  2. Step 2: Convert to fraction form
    1,656.42/2,284.66 = 1,027.31/x
  3. Step 3: Cross multiply
    1,656.42x = 2,284.66 × 1,027.31
  4. Step 4: Simplify right side
    1,656.42x = 2,347,043.93
  5. Step 5: Solve for x
    x = 2,347,043.93/1,656.42
  6. Step 6: Final answer
    x = 1,416.94

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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.