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Finding the Fourth Proportional to 2,447.51, 3,671.26 and 598.64

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Solution

The fourth proportional to 2,447.51, 3,671.26 and 598.64 is: 897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.51 : 3,671.26 = 598.64 : x
  2. Step 2: Convert to fraction form
    2,447.51/3,671.26 = 598.64/x
  3. Step 3: Cross multiply
    2,447.51x = 3,671.26 × 598.64
  4. Step 4: Simplify right side
    2,447.51x = 2,197,741.74
  5. Step 5: Solve for x
    x = 2,197,741.74/2,447.51
  6. Step 6: Final answer
    x = 897.95

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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.