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Finding the Fourth Proportional to 1,905.61, 2,858.65 and 672.77

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Solution

The fourth proportional to 1,905.61, 2,858.65 and 672.77 is: 1,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.61 : 2,858.65 = 672.77 : x
  2. Step 2: Convert to fraction form
    1,905.61/2,858.65 = 672.77/x
  3. Step 3: Cross multiply
    1,905.61x = 2,858.65 × 672.77
  4. Step 4: Simplify right side
    1,905.61x = 1,923,213.96
  5. Step 5: Solve for x
    x = 1,923,213.96/1,905.61
  6. Step 6: Final answer
    x = 1,009.24

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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.