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Finding the Fourth Proportional to 2,758.99, 4,139.07 and 1,460.14

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Solution

The fourth proportional to 2,758.99, 4,139.07 and 1,460.14 is: 2,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.99 : 4,139.07 = 1,460.14 : x
  2. Step 2: Convert to fraction form
    2,758.99/4,139.07 = 1,460.14/x
  3. Step 3: Cross multiply
    2,758.99x = 4,139.07 × 1,460.14
  4. Step 4: Simplify right side
    2,758.99x = 6,043,621.67
  5. Step 5: Solve for x
    x = 6,043,621.67/2,758.99
  6. Step 6: Final answer
    x = 2,190.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.