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Finding the Fourth Proportional to 2,100.53, 2,898.29 and 1,261.01

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Solution

The fourth proportional to 2,100.53, 2,898.29 and 1,261.01 is: 1,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.53 : 2,898.29 = 1,261.01 : x
  2. Step 2: Convert to fraction form
    2,100.53/2,898.29 = 1,261.01/x
  3. Step 3: Cross multiply
    2,100.53x = 2,898.29 × 1,261.01
  4. Step 4: Simplify right side
    2,100.53x = 3,654,751.88
  5. Step 5: Solve for x
    x = 3,654,751.88/2,100.53
  6. Step 6: Final answer
    x = 1,739.92

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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.