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Finding the Fourth Proportional to 2,328.90, 3,493.35 and 1,464.90

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Solution

The fourth proportional to 2,328.90, 3,493.35 and 1,464.90 is: 2,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.90 : 3,493.35 = 1,464.90 : x
  2. Step 2: Convert to fraction form
    2,328.90/3,493.35 = 1,464.90/x
  3. Step 3: Cross multiply
    2,328.90x = 3,493.35 × 1,464.90
  4. Step 4: Simplify right side
    2,328.90x = 5,117,408.42
  5. Step 5: Solve for x
    x = 5,117,408.42/2,328.90
  6. Step 6: Final answer
    x = 2,197.35

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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.