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Finding the Fourth Proportional to 2,124.66, 2,930.28 and 1,460.46

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Solution

The fourth proportional to 2,124.66, 2,930.28 and 1,460.46 is: 2,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.66 : 2,930.28 = 1,460.46 : x
  2. Step 2: Convert to fraction form
    2,124.66/2,930.28 = 1,460.46/x
  3. Step 3: Cross multiply
    2,124.66x = 2,930.28 × 1,460.46
  4. Step 4: Simplify right side
    2,124.66x = 4,279,556.73
  5. Step 5: Solve for x
    x = 4,279,556.73/2,124.66
  6. Step 6: Final answer
    x = 2,014.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.