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Finding the Fourth Proportional to 1,349.63, 2,019.74 and 933.59

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Solution

The fourth proportional to 1,349.63, 2,019.74 and 933.59 is: 1,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.63 : 2,019.74 = 933.59 : x
  2. Step 2: Convert to fraction form
    1,349.63/2,019.74 = 933.59/x
  3. Step 3: Cross multiply
    1,349.63x = 2,019.74 × 933.59
  4. Step 4: Simplify right side
    1,349.63x = 1,885,609.45
  5. Step 5: Solve for x
    x = 1,885,609.45/1,349.63
  6. Step 6: Final answer
    x = 1,397.13

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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.