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Finding the Fourth Proportional to 2,102.51, 2,900.93 and 1,262.94

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Solution

The fourth proportional to 2,102.51, 2,900.93 and 1,262.94 is: 1,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.51 : 2,900.93 = 1,262.94 : x
  2. Step 2: Convert to fraction form
    2,102.51/2,900.93 = 1,262.94/x
  3. Step 3: Cross multiply
    2,102.51x = 2,900.93 × 1,262.94
  4. Step 4: Simplify right side
    2,102.51x = 3,663,694.22
  5. Step 5: Solve for x
    x = 3,663,694.22/2,102.51
  6. Step 6: Final answer
    x = 1,742.54

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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.