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Finding the Fourth Proportional to 2,447.88, 3,671.85 and 598.98

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Solution

The fourth proportional to 2,447.88, 3,671.85 and 598.98 is: 898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.88 : 3,671.85 = 598.98 : x
  2. Step 2: Convert to fraction form
    2,447.88/3,671.85 = 598.98/x
  3. Step 3: Cross multiply
    2,447.88x = 3,671.85 × 598.98
  4. Step 4: Simplify right side
    2,447.88x = 2,199,364.71
  5. Step 5: Solve for x
    x = 2,199,364.71/2,447.88
  6. Step 6: Final answer
    x = 898.48

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1.5x scale

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.