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Finding the Fourth Proportional to 2,711.67, 4,063.59 and 1,598.46

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Solution

The fourth proportional to 2,711.67, 4,063.59 and 1,598.46 is: 2,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.67 : 4,063.59 = 1,598.46 : x
  2. Step 2: Convert to fraction form
    2,711.67/4,063.59 = 1,598.46/x
  3. Step 3: Cross multiply
    2,711.67x = 4,063.59 × 1,598.46
  4. Step 4: Simplify right side
    2,711.67x = 6,495,486.07
  5. Step 5: Solve for x
    x = 6,495,486.07/2,711.67
  6. Step 6: Final answer
    x = 2,395.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.