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Finding the Fourth Proportional to 2,100.29, 2,897.93 and 1,260.88

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Solution

The fourth proportional to 2,100.29, 2,897.93 and 1,260.88 is: 1,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.29 : 2,897.93 = 1,260.88 : x
  2. Step 2: Convert to fraction form
    2,100.29/2,897.93 = 1,260.88/x
  3. Step 3: Cross multiply
    2,100.29x = 2,897.93 × 1,260.88
  4. Step 4: Simplify right side
    2,100.29x = 3,653,937.89
  5. Step 5: Solve for x
    x = 3,653,937.89/2,100.29
  6. Step 6: Final answer
    x = 1,739.73

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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.