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Finding the Fourth Proportional to 1,585.42, 2,378.26 and 415.42

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Solution

The fourth proportional to 1,585.42, 2,378.26 and 415.42 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.42 : 2,378.26 = 415.42 : x
  2. Step 2: Convert to fraction form
    1,585.42/2,378.26 = 415.42/x
  3. Step 3: Cross multiply
    1,585.42x = 2,378.26 × 415.42
  4. Step 4: Simplify right side
    1,585.42x = 987,976.77
  5. Step 5: Solve for x
    x = 987,976.77/1,585.42
  6. Step 6: Final answer
    x = 623.16

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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.