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Finding the Fourth Proportional to 1,269.36, 1,752.54 and 1,136.35

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Solution

The fourth proportional to 1,269.36, 1,752.54 and 1,136.35 is: 1,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.36 : 1,752.54 = 1,136.35 : x
  2. Step 2: Convert to fraction form
    1,269.36/1,752.54 = 1,136.35/x
  3. Step 3: Cross multiply
    1,269.36x = 1,752.54 × 1,136.35
  4. Step 4: Simplify right side
    1,269.36x = 1,991,498.83
  5. Step 5: Solve for x
    x = 1,991,498.83/1,269.36
  6. Step 6: Final answer
    x = 1,568.90

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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.