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Finding the Fourth Proportional to 2,598.53, 3,586.05 and 1,967.94

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Solution

The fourth proportional to 2,598.53, 3,586.05 and 1,967.94 is: 2,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.53 : 3,586.05 = 1,967.94 : x
  2. Step 2: Convert to fraction form
    2,598.53/3,586.05 = 1,967.94/x
  3. Step 3: Cross multiply
    2,598.53x = 3,586.05 × 1,967.94
  4. Step 4: Simplify right side
    2,598.53x = 7,057,131.24
  5. Step 5: Solve for x
    x = 7,057,131.24/2,598.53
  6. Step 6: Final answer
    x = 2,715.82

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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.