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Finding the Fourth Proportional to 2,329.72, 3,494.60 and 598.28

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Solution

The fourth proportional to 2,329.72, 3,494.60 and 598.28 is: 897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.72 : 3,494.60 = 598.28 : x
  2. Step 2: Convert to fraction form
    2,329.72/3,494.60 = 598.28/x
  3. Step 3: Cross multiply
    2,329.72x = 3,494.60 × 598.28
  4. Step 4: Simplify right side
    2,329.72x = 2,090,749.29
  5. Step 5: Solve for x
    x = 2,090,749.29/2,329.72
  6. Step 6: Final answer
    x = 897.43

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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.