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Finding the Fourth Proportional to 2,014.58, 3,010.19 and 1,456.64

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Solution

The fourth proportional to 2,014.58, 3,010.19 and 1,456.64 is: 2,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.58 : 3,010.19 = 1,456.64 : x
  2. Step 2: Convert to fraction form
    2,014.58/3,010.19 = 1,456.64/x
  3. Step 3: Cross multiply
    2,014.58x = 3,010.19 × 1,456.64
  4. Step 4: Simplify right side
    2,014.58x = 4,384,740.83
  5. Step 5: Solve for x
    x = 4,384,740.83/2,014.58
  6. Step 6: Final answer
    x = 2,176.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.