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Finding the Fourth Proportional to 3,070.43, 4,604.74 and 1,095.74

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Solution

The fourth proportional to 3,070.43, 4,604.74 and 1,095.74 is: 1,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.43 : 4,604.74 = 1,095.74 : x
  2. Step 2: Convert to fraction form
    3,070.43/4,604.74 = 1,095.74/x
  3. Step 3: Cross multiply
    3,070.43x = 4,604.74 × 1,095.74
  4. Step 4: Simplify right side
    3,070.43x = 5,045,597.81
  5. Step 5: Solve for x
    x = 5,045,597.81/3,070.43
  6. Step 6: Final answer
    x = 1,643.29

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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.