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Finding the Fourth Proportional to 2,298.67, 3,448.12 and 655.33

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Solution

The fourth proportional to 2,298.67, 3,448.12 and 655.33 is: 983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.67 : 3,448.12 = 655.33 : x
  2. Step 2: Convert to fraction form
    2,298.67/3,448.12 = 655.33/x
  3. Step 3: Cross multiply
    2,298.67x = 3,448.12 × 655.33
  4. Step 4: Simplify right side
    2,298.67x = 2,259,656.48
  5. Step 5: Solve for x
    x = 2,259,656.48/2,298.67
  6. Step 6: Final answer
    x = 983.03

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1.5x scale

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.