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Finding the Fourth Proportional to 2,599.01, 3,586.62 and 1,420.08

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Solution

The fourth proportional to 2,599.01, 3,586.62 and 1,420.08 is: 1,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.01 : 3,586.62 = 1,420.08 : x
  2. Step 2: Convert to fraction form
    2,599.01/3,586.62 = 1,420.08/x
  3. Step 3: Cross multiply
    2,599.01x = 3,586.62 × 1,420.08
  4. Step 4: Simplify right side
    2,599.01x = 5,093,287.33
  5. Step 5: Solve for x
    x = 5,093,287.33/2,599.01
  6. Step 6: Final answer
    x = 1,959.70

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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.