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Finding the Fourth Proportional to 4,295.45, 6,444.53 and 1,829.00

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Solution

The fourth proportional to 4,295.45, 6,444.53 and 1,829.00 is: 2,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.45 : 6,444.53 = 1,829.00 : x
  2. Step 2: Convert to fraction form
    4,295.45/6,444.53 = 1,829.00/x
  3. Step 3: Cross multiply
    4,295.45x = 6,444.53 × 1,829.00
  4. Step 4: Simplify right side
    4,295.45x = 11,787,004.00
  5. Step 5: Solve for x
    x = 11,787,004.00/4,295.45
  6. Step 6: Final answer
    x = 2,744.07

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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.