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Finding the Fourth Proportional to 2,423.64, 3,635.19 and 692.27

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Solution

The fourth proportional to 2,423.64, 3,635.19 and 692.27 is: 1,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.64 : 3,635.19 = 692.27 : x
  2. Step 2: Convert to fraction form
    2,423.64/3,635.19 = 692.27/x
  3. Step 3: Cross multiply
    2,423.64x = 3,635.19 × 692.27
  4. Step 4: Simplify right side
    2,423.64x = 2,516,514.81
  5. Step 5: Solve for x
    x = 2,516,514.81/2,423.64
  6. Step 6: Final answer
    x = 1,038.32

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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.