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Finding the Fourth Proportional to 2,047.83, 2,824.27 and 1,730.36

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Solution

The fourth proportional to 2,047.83, 2,824.27 and 1,730.36 is: 2,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.83 : 2,824.27 = 1,730.36 : x
  2. Step 2: Convert to fraction form
    2,047.83/2,824.27 = 1,730.36/x
  3. Step 3: Cross multiply
    2,047.83x = 2,824.27 × 1,730.36
  4. Step 4: Simplify right side
    2,047.83x = 4,886,985.39
  5. Step 5: Solve for x
    x = 4,886,985.39/2,047.83
  6. Step 6: Final answer
    x = 2,386.42

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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.