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Finding the Fourth Proportional to 4,180.84, 6,271.26 and 1,407

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Solution

The fourth proportional to 4,180.84, 6,271.26 and 1,407 is: 2,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.84 : 6,271.26 = 1,407 : x
  2. Step 2: Convert to fraction form
    4,180.84/6,271.26 = 1,407/x
  3. Step 3: Cross multiply
    4,180.84x = 6,271.26 × 1,407
  4. Step 4: Simplify right side
    4,180.84x = 8,823,662.82
  5. Step 5: Solve for x
    x = 8,823,662.82/4,180.84
  6. Step 6: Final answer
    x = 2,110.50

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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.