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Finding the Fourth Proportional to 1,493.41, 2,238.50 and 945.74

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Solution

The fourth proportional to 1,493.41, 2,238.50 and 945.74 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.41 : 2,238.50 = 945.74 : x
  2. Step 2: Convert to fraction form
    1,493.41/2,238.50 = 945.74/x
  3. Step 3: Cross multiply
    1,493.41x = 2,238.50 × 945.74
  4. Step 4: Simplify right side
    1,493.41x = 2,117,034.26
  5. Step 5: Solve for x
    x = 2,117,034.26/1,493.41
  6. Step 6: Final answer
    x = 1,417.59

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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.