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Finding the Fourth Proportional to 1,369.40, 2,037.65 and 1,364.78

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Solution

The fourth proportional to 1,369.40, 2,037.65 and 1,364.78 is: 2,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.40 : 2,037.65 = 1,364.78 : x
  2. Step 2: Convert to fraction form
    1,369.40/2,037.65 = 1,364.78/x
  3. Step 3: Cross multiply
    1,369.40x = 2,037.65 × 1,364.78
  4. Step 4: Simplify right side
    1,369.40x = 2,780,933.78
  5. Step 5: Solve for x
    x = 2,780,933.78/1,369.40
  6. Step 6: Final answer
    x = 2,030.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.