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Finding the Fourth Proportional to 2,303, 3,445.86 and 1,433.24

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Solution

The fourth proportional to 2,303, 3,445.86 and 1,433.24 is: 2,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303 : 3,445.86 = 1,433.24 : x
  2. Step 2: Convert to fraction form
    2,303/3,445.86 = 1,433.24/x
  3. Step 3: Cross multiply
    2,303x = 3,445.86 × 1,433.24
  4. Step 4: Simplify right side
    2,303x = 4,938,744.39
  5. Step 5: Solve for x
    x = 4,938,744.39/2,303
  6. Step 6: Final answer
    x = 2,144.48

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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.