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Finding the Fourth Proportional to 2,298.35, 3,448.04 and 655.02

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Solution

The fourth proportional to 2,298.35, 3,448.04 and 655.02 is: 982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.35 : 3,448.04 = 655.02 : x
  2. Step 2: Convert to fraction form
    2,298.35/3,448.04 = 655.02/x
  3. Step 3: Cross multiply
    2,298.35x = 3,448.04 × 655.02
  4. Step 4: Simplify right side
    2,298.35x = 2,258,531.89
  5. Step 5: Solve for x
    x = 2,258,531.89/2,298.35
  6. Step 6: Final answer
    x = 982.68

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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.