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Finding the Fourth Proportional to 3,038.52, 4,193.52 and 1,779.92

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Solution

The fourth proportional to 3,038.52, 4,193.52 and 1,779.92 is: 2,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.52 : 4,193.52 = 1,779.92 : x
  2. Step 2: Convert to fraction form
    3,038.52/4,193.52 = 1,779.92/x
  3. Step 3: Cross multiply
    3,038.52x = 4,193.52 × 1,779.92
  4. Step 4: Simplify right side
    3,038.52x = 7,464,130.12
  5. Step 5: Solve for x
    x = 7,464,130.12/3,038.52
  6. Step 6: Final answer
    x = 2,456.50

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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.