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Finding the Fourth Proportional to 1,730.86, 2,388.19 and 1,671.58

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Solution

The fourth proportional to 1,730.86, 2,388.19 and 1,671.58 is: 2,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.86 : 2,388.19 = 1,671.58 : x
  2. Step 2: Convert to fraction form
    1,730.86/2,388.19 = 1,671.58/x
  3. Step 3: Cross multiply
    1,730.86x = 2,388.19 × 1,671.58
  4. Step 4: Simplify right side
    1,730.86x = 3,992,030.34
  5. Step 5: Solve for x
    x = 3,992,030.34/1,730.86
  6. Step 6: Final answer
    x = 2,306.39

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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.