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Finding the Fourth Proportional to 4,684.02, 7,026.04 and 1,221

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Solution

The fourth proportional to 4,684.02, 7,026.04 and 1,221 is: 1,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.02 : 7,026.04 = 1,221 : x
  2. Step 2: Convert to fraction form
    4,684.02/7,026.04 = 1,221/x
  3. Step 3: Cross multiply
    4,684.02x = 7,026.04 × 1,221
  4. Step 4: Simplify right side
    4,684.02x = 8,578,794.84
  5. Step 5: Solve for x
    x = 8,578,794.84/4,684.02
  6. Step 6: Final answer
    x = 1,831.50

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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.