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Finding the Fourth Proportional to 1,687.69, 2,329.02 and 941.63

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Solution

The fourth proportional to 1,687.69, 2,329.02 and 941.63 is: 1,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.69 : 2,329.02 = 941.63 : x
  2. Step 2: Convert to fraction form
    1,687.69/2,329.02 = 941.63/x
  3. Step 3: Cross multiply
    1,687.69x = 2,329.02 × 941.63
  4. Step 4: Simplify right side
    1,687.69x = 2,193,075.10
  5. Step 5: Solve for x
    x = 2,193,075.10/1,687.69
  6. Step 6: Final answer
    x = 1,299.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.