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Finding the Fourth Proportional to 1,852.58, 2,558.66 and 1,262.09

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Solution

The fourth proportional to 1,852.58, 2,558.66 and 1,262.09 is: 1,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.58 : 2,558.66 = 1,262.09 : x
  2. Step 2: Convert to fraction form
    1,852.58/2,558.66 = 1,262.09/x
  3. Step 3: Cross multiply
    1,852.58x = 2,558.66 × 1,262.09
  4. Step 4: Simplify right side
    1,852.58x = 3,229,259.20
  5. Step 5: Solve for x
    x = 3,229,259.20/1,852.58
  6. Step 6: Final answer
    x = 1,743.11

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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.