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Finding the Fourth Proportional to 1,250.26, 1,875.40 and 338.26

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Solution

The fourth proportional to 1,250.26, 1,875.40 and 338.26 is: 507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.26 : 1,875.40 = 338.26 : x
  2. Step 2: Convert to fraction form
    1,250.26/1,875.40 = 338.26/x
  3. Step 3: Cross multiply
    1,250.26x = 1,875.40 × 338.26
  4. Step 4: Simplify right side
    1,250.26x = 634,372.80
  5. Step 5: Solve for x
    x = 634,372.80/1,250.26
  6. Step 6: Final answer
    x = 507.39

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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.