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Finding the Fourth Proportional to 2,349, 3,242.84 and 1,604.00

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Solution

The fourth proportional to 2,349, 3,242.84 and 1,604.00 is: 2,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349 : 3,242.84 = 1,604.00 : x
  2. Step 2: Convert to fraction form
    2,349/3,242.84 = 1,604.00/x
  3. Step 3: Cross multiply
    2,349x = 3,242.84 × 1,604.00
  4. Step 4: Simplify right side
    2,349x = 5,201,515.45
  5. Step 5: Solve for x
    x = 5,201,515.45/2,349
  6. Step 6: Final answer
    x = 2,214.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.