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Finding the Fourth Proportional to 1,444.00, 2,166.00 and 348.36

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Solution

The fourth proportional to 1,444.00, 2,166.00 and 348.36 is: 522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.00 : 2,166.00 = 348.36 : x
  2. Step 2: Convert to fraction form
    1,444.00/2,166.00 = 348.36/x
  3. Step 3: Cross multiply
    1,444.00x = 2,166.00 × 348.36
  4. Step 4: Simplify right side
    1,444.00x = 754,556.01
  5. Step 5: Solve for x
    x = 754,556.01/1,444.00
  6. Step 6: Final answer
    x = 522.55

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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.