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Finding the Fourth Proportional to 2,101.84, 2,899.97 and 1,262.34

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Solution

The fourth proportional to 2,101.84, 2,899.97 and 1,262.34 is: 1,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 2,899.97 = 1,262.34 : x
  2. Step 2: Convert to fraction form
    2,101.84/2,899.97 = 1,262.34/x
  3. Step 3: Cross multiply
    2,101.84x = 2,899.97 × 1,262.34
  4. Step 4: Simplify right side
    2,101.84x = 3,660,746.55
  5. Step 5: Solve for x
    x = 3,660,746.55/2,101.84
  6. Step 6: Final answer
    x = 1,741.69

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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.