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Finding the Fourth Proportional to 3,070.70, 4,606.05 and 2,941.10

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Solution

The fourth proportional to 3,070.70, 4,606.05 and 2,941.10 is: 4,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.70 : 4,606.05 = 2,941.10 : x
  2. Step 2: Convert to fraction form
    3,070.70/4,606.05 = 2,941.10/x
  3. Step 3: Cross multiply
    3,070.70x = 4,606.05 × 2,941.10
  4. Step 4: Simplify right side
    3,070.70x = 13,546,853.66
  5. Step 5: Solve for x
    x = 13,546,853.66/3,070.70
  6. Step 6: Final answer
    x = 4,411.65

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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.