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Finding the Fourth Proportional to 2,447.85, 3,671.79 and 598.98

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Solution

The fourth proportional to 2,447.85, 3,671.79 and 598.98 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.85 : 3,671.79 = 598.98 : x
  2. Step 2: Convert to fraction form
    2,447.85/3,671.79 = 598.98/x
  3. Step 3: Cross multiply
    2,447.85x = 3,671.79 × 598.98
  4. Step 4: Simplify right side
    2,447.85x = 2,199,328.77
  5. Step 5: Solve for x
    x = 2,199,328.77/2,447.85
  6. Step 6: Final answer
    x = 898.47

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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.