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Finding the Fourth Proportional to 2,597.02, 3,895.53 and 649.22

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Solution

The fourth proportional to 2,597.02, 3,895.53 and 649.22 is: 973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.02 : 3,895.53 = 649.22 : x
  2. Step 2: Convert to fraction form
    2,597.02/3,895.53 = 649.22/x
  3. Step 3: Cross multiply
    2,597.02x = 3,895.53 × 649.22
  4. Step 4: Simplify right side
    2,597.02x = 2,529,055.99
  5. Step 5: Solve for x
    x = 2,529,055.99/2,597.02
  6. Step 6: Final answer
    x = 973.83

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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.