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Finding the Fourth Proportional to 3,043.99, 4,200.71 and 1,646.74

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Solution

The fourth proportional to 3,043.99, 4,200.71 and 1,646.74 is: 2,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.99 : 4,200.71 = 1,646.74 : x
  2. Step 2: Convert to fraction form
    3,043.99/4,200.71 = 1,646.74/x
  3. Step 3: Cross multiply
    3,043.99x = 4,200.71 × 1,646.74
  4. Step 4: Simplify right side
    3,043.99x = 6,917,477.19
  5. Step 5: Solve for x
    x = 6,917,477.19/3,043.99
  6. Step 6: Final answer
    x = 2,272.50

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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.