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Finding the Fourth Proportional to 3,106.35, 4,657.10 and 1,461.24

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Solution

The fourth proportional to 3,106.35, 4,657.10 and 1,461.24 is: 2,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.35 : 4,657.10 = 1,461.24 : x
  2. Step 2: Convert to fraction form
    3,106.35/4,657.10 = 1,461.24/x
  3. Step 3: Cross multiply
    3,106.35x = 4,657.10 × 1,461.24
  4. Step 4: Simplify right side
    3,106.35x = 6,805,133.50
  5. Step 5: Solve for x
    x = 6,805,133.50/3,106.35
  6. Step 6: Final answer
    x = 2,190.72

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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.