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Finding the Fourth Proportional to 2,598.82, 3,586.59 and 1,480.12

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Solution

The fourth proportional to 2,598.82, 3,586.59 and 1,480.12 is: 2,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.82 : 3,586.59 = 1,480.12 : x
  2. Step 2: Convert to fraction form
    2,598.82/3,586.59 = 1,480.12/x
  3. Step 3: Cross multiply
    2,598.82x = 3,586.59 × 1,480.12
  4. Step 4: Simplify right side
    2,598.82x = 5,308,583.59
  5. Step 5: Solve for x
    x = 5,308,583.59/2,598.82
  6. Step 6: Final answer
    x = 2,042.69

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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.