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Finding the Fourth Proportional to 1,779.52, 2,455.68 and 1,033.54

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Solution

The fourth proportional to 1,779.52, 2,455.68 and 1,033.54 is: 1,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.52 : 2,455.68 = 1,033.54 : x
  2. Step 2: Convert to fraction form
    1,779.52/2,455.68 = 1,033.54/x
  3. Step 3: Cross multiply
    1,779.52x = 2,455.68 × 1,033.54
  4. Step 4: Simplify right side
    1,779.52x = 2,538,043.51
  5. Step 5: Solve for x
    x = 2,538,043.51/1,779.52
  6. Step 6: Final answer
    x = 1,426.25

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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.