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Finding the Fourth Proportional to 2,298.99, 3,448.22 and 655.50

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Solution

The fourth proportional to 2,298.99, 3,448.22 and 655.50 is: 983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.99 : 3,448.22 = 655.50 : x
  2. Step 2: Convert to fraction form
    2,298.99/3,448.22 = 655.50/x
  3. Step 3: Cross multiply
    2,298.99x = 3,448.22 × 655.50
  4. Step 4: Simplify right side
    2,298.99x = 2,260,304.93
  5. Step 5: Solve for x
    x = 2,260,304.93/2,298.99
  6. Step 6: Final answer
    x = 983.17

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Why These Related Problems?

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