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Finding the Fourth Proportional to 2,447.37, 3,671.04 and 598.47

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Solution

The fourth proportional to 2,447.37, 3,671.04 and 598.47 is: 897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.37 : 3,671.04 = 598.47 : x
  2. Step 2: Convert to fraction form
    2,447.37/3,671.04 = 598.47/x
  3. Step 3: Cross multiply
    2,447.37x = 3,671.04 × 598.47
  4. Step 4: Simplify right side
    2,447.37x = 2,197,007.31
  5. Step 5: Solve for x
    x = 2,197,007.31/2,447.37
  6. Step 6: Final answer
    x = 897.70

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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.