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Finding the Fourth Proportional to 1,604.77, 2,211.53 and 1,106.51

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Solution

The fourth proportional to 1,604.77, 2,211.53 and 1,106.51 is: 1,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.77 : 2,211.53 = 1,106.51 : x
  2. Step 2: Convert to fraction form
    1,604.77/2,211.53 = 1,106.51/x
  3. Step 3: Cross multiply
    1,604.77x = 2,211.53 × 1,106.51
  4. Step 4: Simplify right side
    1,604.77x = 2,447,063.47
  5. Step 5: Solve for x
    x = 2,447,063.47/1,604.77
  6. Step 6: Final answer
    x = 1,524.87

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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.