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Finding the Fourth Proportional to 2,208.35, 3,312.59 and 564.91

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Solution

The fourth proportional to 2,208.35, 3,312.59 and 564.91 is: 847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.35 : 3,312.59 = 564.91 : x
  2. Step 2: Convert to fraction form
    2,208.35/3,312.59 = 564.91/x
  3. Step 3: Cross multiply
    2,208.35x = 3,312.59 × 564.91
  4. Step 4: Simplify right side
    2,208.35x = 1,871,315.22
  5. Step 5: Solve for x
    x = 1,871,315.22/2,208.35
  6. Step 6: Final answer
    x = 847.38

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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.