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Finding the Fourth Proportional to 2,100.51, 2,896.56 and 1,802.77

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Solution

The fourth proportional to 2,100.51, 2,896.56 and 1,802.77 is: 2,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.51 : 2,896.56 = 1,802.77 : x
  2. Step 2: Convert to fraction form
    2,100.51/2,896.56 = 1,802.77/x
  3. Step 3: Cross multiply
    2,100.51x = 2,896.56 × 1,802.77
  4. Step 4: Simplify right side
    2,100.51x = 5,221,824.23
  5. Step 5: Solve for x
    x = 5,221,824.23/2,100.51
  6. Step 6: Final answer
    x = 2,485.98

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