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Finding the Fourth Proportional to 1,647.04, 2,289.04 and 1,629.76

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Solution

The fourth proportional to 1,647.04, 2,289.04 and 1,629.76 is: 2,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.04 : 2,289.04 = 1,629.76 : x
  2. Step 2: Convert to fraction form
    1,647.04/2,289.04 = 1,629.76/x
  3. Step 3: Cross multiply
    1,647.04x = 2,289.04 × 1,629.76
  4. Step 4: Simplify right side
    1,647.04x = 3,730,585.83
  5. Step 5: Solve for x
    x = 3,730,585.83/1,647.04
  6. Step 6: Final answer
    x = 2,265.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.