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Finding the Fourth Proportional to 1,594.98, 2,392.38 and 1,078.38

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Solution

The fourth proportional to 1,594.98, 2,392.38 and 1,078.38 is: 1,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.98 : 2,392.38 = 1,078.38 : x
  2. Step 2: Convert to fraction form
    1,594.98/2,392.38 = 1,078.38/x
  3. Step 3: Cross multiply
    1,594.98x = 2,392.38 × 1,078.38
  4. Step 4: Simplify right side
    1,594.98x = 2,579,894.74
  5. Step 5: Solve for x
    x = 2,579,894.74/1,594.98
  6. Step 6: Final answer
    x = 1,617.51

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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.