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Finding the Fourth Proportional to 2,447.32, 3,670.97 and 598.45

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Solution

The fourth proportional to 2,447.32, 3,670.97 and 598.45 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.32 : 3,670.97 = 598.45 : x
  2. Step 2: Convert to fraction form
    2,447.32/3,670.97 = 598.45/x
  3. Step 3: Cross multiply
    2,447.32x = 3,670.97 × 598.45
  4. Step 4: Simplify right side
    2,447.32x = 2,196,892.00
  5. Step 5: Solve for x
    x = 2,196,892.00/2,447.32
  6. Step 6: Final answer
    x = 897.67

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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.