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Finding the Fourth Proportional to 1,677.93, 2,516.16 and 897.80

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Solution

The fourth proportional to 1,677.93, 2,516.16 and 897.80 is: 1,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.93 : 2,516.16 = 897.80 : x
  2. Step 2: Convert to fraction form
    1,677.93/2,516.16 = 897.80/x
  3. Step 3: Cross multiply
    1,677.93x = 2,516.16 × 897.80
  4. Step 4: Simplify right side
    1,677.93x = 2,258,995.87
  5. Step 5: Solve for x
    x = 2,258,995.87/1,677.93
  6. Step 6: Final answer
    x = 1,346.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.