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Finding the Fourth Proportional to 2,497.85, 3,447.01 and 1,435.67

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Solution

The fourth proportional to 2,497.85, 3,447.01 and 1,435.67 is: 1,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.85 : 3,447.01 = 1,435.67 : x
  2. Step 2: Convert to fraction form
    2,497.85/3,447.01 = 1,435.67/x
  3. Step 3: Cross multiply
    2,497.85x = 3,447.01 × 1,435.67
  4. Step 4: Simplify right side
    2,497.85x = 4,948,768.85
  5. Step 5: Solve for x
    x = 4,948,768.85/2,497.85
  6. Step 6: Final answer
    x = 1,981.21

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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.