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Finding the Fourth Proportional to 2,598.42, 3,897.63 and 650.62

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Solution

The fourth proportional to 2,598.42, 3,897.63 and 650.62 is: 975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.42 : 3,897.63 = 650.62 : x
  2. Step 2: Convert to fraction form
    2,598.42/3,897.63 = 650.62/x
  3. Step 3: Cross multiply
    2,598.42x = 3,897.63 × 650.62
  4. Step 4: Simplify right side
    2,598.42x = 2,535,863.85
  5. Step 5: Solve for x
    x = 2,535,863.85/2,598.42
  6. Step 6: Final answer
    x = 975.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.