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Finding the Fourth Proportional to 1,686.85, 2,328.17 and 1,406.63

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Solution

The fourth proportional to 1,686.85, 2,328.17 and 1,406.63 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.85 : 2,328.17 = 1,406.63 : x
  2. Step 2: Convert to fraction form
    1,686.85/2,328.17 = 1,406.63/x
  3. Step 3: Cross multiply
    1,686.85x = 2,328.17 × 1,406.63
  4. Step 4: Simplify right side
    1,686.85x = 3,274,872.55
  5. Step 5: Solve for x
    x = 3,274,872.55/1,686.85
  6. Step 6: Final answer
    x = 1,941.42

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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.