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Finding the Fourth Proportional to 1,779.58, 2,455.74 and 1,033.54

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Solution

The fourth proportional to 1,779.58, 2,455.74 and 1,033.54 is: 1,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.58 : 2,455.74 = 1,033.54 : x
  2. Step 2: Convert to fraction form
    1,779.58/2,455.74 = 1,033.54/x
  3. Step 3: Cross multiply
    1,779.58x = 2,455.74 × 1,033.54
  4. Step 4: Simplify right side
    1,779.58x = 2,538,105.52
  5. Step 5: Solve for x
    x = 2,538,105.52/1,779.58
  6. Step 6: Final answer
    x = 1,426.24

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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.