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Finding the Fourth Proportional to 2,095.68, 2,888.72 and 1,674.70

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Solution

The fourth proportional to 2,095.68, 2,888.72 and 1,674.70 is: 2,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.68 : 2,888.72 = 1,674.70 : x
  2. Step 2: Convert to fraction form
    2,095.68/2,888.72 = 1,674.70/x
  3. Step 3: Cross multiply
    2,095.68x = 2,888.72 × 1,674.70
  4. Step 4: Simplify right side
    2,095.68x = 4,837,739.38
  5. Step 5: Solve for x
    x = 4,837,739.38/2,095.68
  6. Step 6: Final answer
    x = 2,308.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.