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Finding the Fourth Proportional to 2,651.65, 3,656.83 and 1,802.18

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Solution

The fourth proportional to 2,651.65, 3,656.83 and 1,802.18 is: 2,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.65 : 3,656.83 = 1,802.18 : x
  2. Step 2: Convert to fraction form
    2,651.65/3,656.83 = 1,802.18/x
  3. Step 3: Cross multiply
    2,651.65x = 3,656.83 × 1,802.18
  4. Step 4: Simplify right side
    2,651.65x = 6,590,258.37
  5. Step 5: Solve for x
    x = 6,590,258.37/2,651.65
  6. Step 6: Final answer
    x = 2,485.34

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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.