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Finding the Fourth Proportional to 3,047.51, 4,205.72 and 1,788.62

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Solution

The fourth proportional to 3,047.51, 4,205.72 and 1,788.62 is: 2,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.51 : 4,205.72 = 1,788.62 : x
  2. Step 2: Convert to fraction form
    3,047.51/4,205.72 = 1,788.62/x
  3. Step 3: Cross multiply
    3,047.51x = 4,205.72 × 1,788.62
  4. Step 4: Simplify right side
    3,047.51x = 7,522,434.91
  5. Step 5: Solve for x
    x = 7,522,434.91/3,047.51
  6. Step 6: Final answer
    x = 2,468.39

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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.