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Finding the Fourth Proportional to 2,598.05, 3,897.09 and 650.19

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Solution

The fourth proportional to 2,598.05, 3,897.09 and 650.19 is: 975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.05 : 3,897.09 = 650.19 : x
  2. Step 2: Convert to fraction form
    2,598.05/3,897.09 = 650.19/x
  3. Step 3: Cross multiply
    2,598.05x = 3,897.09 × 650.19
  4. Step 4: Simplify right side
    2,598.05x = 2,533,848.95
  5. Step 5: Solve for x
    x = 2,533,848.95/2,598.05
  6. Step 6: Final answer
    x = 975.29

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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.