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Finding the Fourth Proportional to 1,705.01, 2,355.23 and 1,336.64

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Solution

The fourth proportional to 1,705.01, 2,355.23 and 1,336.64 is: 1,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.01 : 2,355.23 = 1,336.64 : x
  2. Step 2: Convert to fraction form
    1,705.01/2,355.23 = 1,336.64/x
  3. Step 3: Cross multiply
    1,705.01x = 2,355.23 × 1,336.64
  4. Step 4: Simplify right side
    1,705.01x = 3,148,094.63
  5. Step 5: Solve for x
    x = 3,148,094.63/1,705.01
  6. Step 6: Final answer
    x = 1,846.38

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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.