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Finding the Fourth Proportional to 3,218.90, 4,825.06 and 1,829.30

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Solution

The fourth proportional to 3,218.90, 4,825.06 and 1,829.30 is: 2,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.90 : 4,825.06 = 1,829.30 : x
  2. Step 2: Convert to fraction form
    3,218.90/4,825.06 = 1,829.30/x
  3. Step 3: Cross multiply
    3,218.90x = 4,825.06 × 1,829.30
  4. Step 4: Simplify right side
    3,218.90x = 8,826,482.26
  5. Step 5: Solve for x
    x = 8,826,482.26/3,218.90
  6. Step 6: Final answer
    x = 2,742.08

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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.