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Finding the Fourth Proportional to 1,886.26, 2,829.53 and 499.59

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Solution

The fourth proportional to 1,886.26, 2,829.53 and 499.59 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.26 : 2,829.53 = 499.59 : x
  2. Step 2: Convert to fraction form
    1,886.26/2,829.53 = 499.59/x
  3. Step 3: Cross multiply
    1,886.26x = 2,829.53 × 499.59
  4. Step 4: Simplify right side
    1,886.26x = 1,413,588.25
  5. Step 5: Solve for x
    x = 1,413,588.25/1,886.26
  6. Step 6: Final answer
    x = 749.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.