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Finding the Fourth Proportional to 1,585.12, 2,376.24 and 814

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Solution

The fourth proportional to 1,585.12, 2,376.24 and 814 is: 1,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.12 : 2,376.24 = 814 : x
  2. Step 2: Convert to fraction form
    1,585.12/2,376.24 = 814/x
  3. Step 3: Cross multiply
    1,585.12x = 2,376.24 × 814
  4. Step 4: Simplify right side
    1,585.12x = 1,934,259.36
  5. Step 5: Solve for x
    x = 1,934,259.36/1,585.12
  6. Step 6: Final answer
    x = 1,220.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.