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Finding the Fourth Proportional to 2,423.63, 3,636.05 and 1,036.28

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Solution

The fourth proportional to 2,423.63, 3,636.05 and 1,036.28 is: 1,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.63 : 3,636.05 = 1,036.28 : x
  2. Step 2: Convert to fraction form
    2,423.63/3,636.05 = 1,036.28/x
  3. Step 3: Cross multiply
    2,423.63x = 3,636.05 × 1,036.28
  4. Step 4: Simplify right side
    2,423.63x = 3,767,942.53
  5. Step 5: Solve for x
    x = 3,767,942.53/2,423.63
  6. Step 6: Final answer
    x = 1,554.67

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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.