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Finding the Fourth Proportional to 2,053.01, 2,833.58 and 1,256.47

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Solution

The fourth proportional to 2,053.01, 2,833.58 and 1,256.47 is: 1,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.01 : 2,833.58 = 1,256.47 : x
  2. Step 2: Convert to fraction form
    2,053.01/2,833.58 = 1,256.47/x
  3. Step 3: Cross multiply
    2,053.01x = 2,833.58 × 1,256.47
  4. Step 4: Simplify right side
    2,053.01x = 3,560,308.26
  5. Step 5: Solve for x
    x = 3,560,308.26/2,053.01
  6. Step 6: Final answer
    x = 1,734.19

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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.