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Finding the Fourth Proportional to 1,369.09, 1,888.68 and 948.70

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Solution

The fourth proportional to 1,369.09, 1,888.68 and 948.70 is: 1,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.09 : 1,888.68 = 948.70 : x
  2. Step 2: Convert to fraction form
    1,369.09/1,888.68 = 948.70/x
  3. Step 3: Cross multiply
    1,369.09x = 1,888.68 × 948.70
  4. Step 4: Simplify right side
    1,369.09x = 1,791,790.72
  5. Step 5: Solve for x
    x = 1,791,790.72/1,369.09
  6. Step 6: Final answer
    x = 1,308.75

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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.