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Finding the Fourth Proportional to 2,598.99, 3,586.59 and 1,420.05

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Solution

The fourth proportional to 2,598.99, 3,586.59 and 1,420.05 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.99 : 3,586.59 = 1,420.05 : x
  2. Step 2: Convert to fraction form
    2,598.99/3,586.59 = 1,420.05/x
  3. Step 3: Cross multiply
    2,598.99x = 3,586.59 × 1,420.05
  4. Step 4: Simplify right side
    2,598.99x = 5,093,137.13
  5. Step 5: Solve for x
    x = 5,093,137.13/2,598.99
  6. Step 6: Final answer
    x = 1,959.66

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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.