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Finding the Fourth Proportional to 2,153.65, 3,230.67 and 692.44

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Solution

The fourth proportional to 2,153.65, 3,230.67 and 692.44 is: 1,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.65 : 3,230.67 = 692.44 : x
  2. Step 2: Convert to fraction form
    2,153.65/3,230.67 = 692.44/x
  3. Step 3: Cross multiply
    2,153.65x = 3,230.67 × 692.44
  4. Step 4: Simplify right side
    2,153.65x = 2,237,045.13
  5. Step 5: Solve for x
    x = 2,237,045.13/2,153.65
  6. Step 6: Final answer
    x = 1,038.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.