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Finding the Fourth Proportional to 1,365.36, 2,037.98 and 1,269.06

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Solution

The fourth proportional to 1,365.36, 2,037.98 and 1,269.06 is: 1,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.36 : 2,037.98 = 1,269.06 : x
  2. Step 2: Convert to fraction form
    1,365.36/2,037.98 = 1,269.06/x
  3. Step 3: Cross multiply
    1,365.36x = 2,037.98 × 1,269.06
  4. Step 4: Simplify right side
    1,365.36x = 2,586,312.55
  5. Step 5: Solve for x
    x = 2,586,312.55/1,365.36
  6. Step 6: Final answer
    x = 1,894.23

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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.