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Finding the Fourth Proportional to 2,357.86, 3,249.96 and 1,884.92

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Solution

The fourth proportional to 2,357.86, 3,249.96 and 1,884.92 is: 2,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.86 : 3,249.96 = 1,884.92 : x
  2. Step 2: Convert to fraction form
    2,357.86/3,249.96 = 1,884.92/x
  3. Step 3: Cross multiply
    2,357.86x = 3,249.96 × 1,884.92
  4. Step 4: Simplify right side
    2,357.86x = 6,125,914.60
  5. Step 5: Solve for x
    x = 6,125,914.60/2,357.86
  6. Step 6: Final answer
    x = 2,598.08

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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.