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Finding the Fourth Proportional to 2,322.51, 3,205.91 and 1,580.31

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Solution

The fourth proportional to 2,322.51, 3,205.91 and 1,580.31 is: 2,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.51 : 3,205.91 = 1,580.31 : x
  2. Step 2: Convert to fraction form
    2,322.51/3,205.91 = 1,580.31/x
  3. Step 3: Cross multiply
    2,322.51x = 3,205.91 × 1,580.31
  4. Step 4: Simplify right side
    2,322.51x = 5,066,331.63
  5. Step 5: Solve for x
    x = 5,066,331.63/2,322.51
  6. Step 6: Final answer
    x = 2,181.40

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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.