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Finding the Fourth Proportional to 2,264.36, 3,396.48 and 598.46

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Solution

The fourth proportional to 2,264.36, 3,396.48 and 598.46 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.36 : 3,396.48 = 598.46 : x
  2. Step 2: Convert to fraction form
    2,264.36/3,396.48 = 598.46/x
  3. Step 3: Cross multiply
    2,264.36x = 3,396.48 × 598.46
  4. Step 4: Simplify right side
    2,264.36x = 2,032,657.42
  5. Step 5: Solve for x
    x = 2,032,657.42/2,264.36
  6. Step 6: Final answer
    x = 897.67

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Why These Related Problems?

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