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Finding the Fourth Proportional to 2,208.02, 3,312.04 and 1,053.50

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Solution

The fourth proportional to 2,208.02, 3,312.04 and 1,053.50 is: 1,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.02 : 3,312.04 = 1,053.50 : x
  2. Step 2: Convert to fraction form
    2,208.02/3,312.04 = 1,053.50/x
  3. Step 3: Cross multiply
    2,208.02x = 3,312.04 × 1,053.50
  4. Step 4: Simplify right side
    2,208.02x = 3,489,234.14
  5. Step 5: Solve for x
    x = 3,489,234.14/2,208.02
  6. Step 6: Final answer
    x = 1,580.25

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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.