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Finding the Fourth Proportional to 1,649.85, 2,462.85 and 1,403.75

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Solution

The fourth proportional to 1,649.85, 2,462.85 and 1,403.75 is: 2,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.85 : 2,462.85 = 1,403.75 : x
  2. Step 2: Convert to fraction form
    1,649.85/2,462.85 = 1,403.75/x
  3. Step 3: Cross multiply
    1,649.85x = 2,462.85 × 1,403.75
  4. Step 4: Simplify right side
    1,649.85x = 3,457,213.37
  5. Step 5: Solve for x
    x = 3,457,213.37/1,649.85
  6. Step 6: Final answer
    x = 2,095.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.