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Finding the Fourth Proportional to 3,374.51, 4,657.23 and 2,048.67

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Solution

The fourth proportional to 3,374.51, 4,657.23 and 2,048.67 is: 2,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.51 : 4,657.23 = 2,048.67 : x
  2. Step 2: Convert to fraction form
    3,374.51/4,657.23 = 2,048.67/x
  3. Step 3: Cross multiply
    3,374.51x = 4,657.23 × 2,048.67
  4. Step 4: Simplify right side
    3,374.51x = 9,541,127.38
  5. Step 5: Solve for x
    x = 9,541,127.38/3,374.51
  6. Step 6: Final answer
    x = 2,827.42

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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.