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Finding the Fourth Proportional to 2,596.99, 3,895.49 and 649.19

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Solution

The fourth proportional to 2,596.99, 3,895.49 and 649.19 is: 973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.99 : 3,895.49 = 649.19 : x
  2. Step 2: Convert to fraction form
    2,596.99/3,895.49 = 649.19/x
  3. Step 3: Cross multiply
    2,596.99x = 3,895.49 × 649.19
  4. Step 4: Simplify right side
    2,596.99x = 2,528,924.51
  5. Step 5: Solve for x
    x = 2,528,924.51/2,596.99
  6. Step 6: Final answer
    x = 973.79

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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.