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Finding the Fourth Proportional to 2,599.03, 3,586.71 and 1,420.14

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Solution

The fourth proportional to 2,599.03, 3,586.71 and 1,420.14 is: 1,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.03 : 3,586.71 = 1,420.14 : x
  2. Step 2: Convert to fraction form
    2,599.03/3,586.71 = 1,420.14/x
  3. Step 3: Cross multiply
    2,599.03x = 3,586.71 × 1,420.14
  4. Step 4: Simplify right side
    2,599.03x = 5,093,630.34
  5. Step 5: Solve for x
    x = 5,093,630.34/2,599.03
  6. Step 6: Final answer
    x = 1,959.82

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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.