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Finding the Fourth Proportional to 2,598.02, 3,897.05 and 650.22

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Solution

The fourth proportional to 2,598.02, 3,897.05 and 650.22 is: 975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.02 : 3,897.05 = 650.22 : x
  2. Step 2: Convert to fraction form
    2,598.02/3,897.05 = 650.22/x
  3. Step 3: Cross multiply
    2,598.02x = 3,897.05 × 650.22
  4. Step 4: Simplify right side
    2,598.02x = 2,533,936.60
  5. Step 5: Solve for x
    x = 2,533,936.60/2,598.02
  6. Step 6: Final answer
    x = 975.34

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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.