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Finding the Fourth Proportional to 1,649.39, 2,276.16 and 903.38

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Solution

The fourth proportional to 1,649.39, 2,276.16 and 903.38 is: 1,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.39 : 2,276.16 = 903.38 : x
  2. Step 2: Convert to fraction form
    1,649.39/2,276.16 = 903.38/x
  3. Step 3: Cross multiply
    1,649.39x = 2,276.16 × 903.38
  4. Step 4: Simplify right side
    1,649.39x = 2,056,237.42
  5. Step 5: Solve for x
    x = 2,056,237.42/1,649.39
  6. Step 6: Final answer
    x = 1,246.67

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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.