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Finding the Fourth Proportional to 2,014.99, 2,780.25 and 1,456.69

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Solution

The fourth proportional to 2,014.99, 2,780.25 and 1,456.69 is: 2,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.99 : 2,780.25 = 1,456.69 : x
  2. Step 2: Convert to fraction form
    2,014.99/2,780.25 = 1,456.69/x
  3. Step 3: Cross multiply
    2,014.99x = 2,780.25 × 1,456.69
  4. Step 4: Simplify right side
    2,014.99x = 4,049,962.37
  5. Step 5: Solve for x
    x = 4,049,962.37/2,014.99
  6. Step 6: Final answer
    x = 2,009.92

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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.