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Finding the Fourth Proportional to 2,294.51, 3,164.40 and 1,508.40

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Solution

The fourth proportional to 2,294.51, 3,164.40 and 1,508.40 is: 2,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.51 : 3,164.40 = 1,508.40 : x
  2. Step 2: Convert to fraction form
    2,294.51/3,164.40 = 1,508.40/x
  3. Step 3: Cross multiply
    2,294.51x = 3,164.40 × 1,508.40
  4. Step 4: Simplify right side
    2,294.51x = 4,773,180.96
  5. Step 5: Solve for x
    x = 4,773,180.96/2,294.51
  6. Step 6: Final answer
    x = 2,080.27

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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.