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Finding the Fourth Proportional to 2,598.06, 3,897.17 and 650.27

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Solution

The fourth proportional to 2,598.06, 3,897.17 and 650.27 is: 975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.06 : 3,897.17 = 650.27 : x
  2. Step 2: Convert to fraction form
    2,598.06/3,897.17 = 650.27/x
  3. Step 3: Cross multiply
    2,598.06x = 3,897.17 × 650.27
  4. Step 4: Simplify right side
    2,598.06x = 2,534,212.74
  5. Step 5: Solve for x
    x = 2,534,212.74/2,598.06
  6. Step 6: Final answer
    x = 975.43

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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.