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Finding the Fourth Proportional to 3,187.36, 4,779.52 and 996.32

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Solution

The fourth proportional to 3,187.36, 4,779.52 and 996.32 is: 1,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.36 : 4,779.52 = 996.32 : x
  2. Step 2: Convert to fraction form
    3,187.36/4,779.52 = 996.32/x
  3. Step 3: Cross multiply
    3,187.36x = 4,779.52 × 996.32
  4. Step 4: Simplify right side
    3,187.36x = 4,761,931.37
  5. Step 5: Solve for x
    x = 4,761,931.37/3,187.36
  6. Step 6: Final answer
    x = 1,494.00

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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.