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Finding the Fourth Proportional to 2,741.86, 3,782.84 and 1,562.68

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Solution

The fourth proportional to 2,741.86, 3,782.84 and 1,562.68 is: 2,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.86 : 3,782.84 = 1,562.68 : x
  2. Step 2: Convert to fraction form
    2,741.86/3,782.84 = 1,562.68/x
  3. Step 3: Cross multiply
    2,741.86x = 3,782.84 × 1,562.68
  4. Step 4: Simplify right side
    2,741.86x = 5,911,368.41
  5. Step 5: Solve for x
    x = 5,911,368.41/2,741.86
  6. Step 6: Final answer
    x = 2,155.97

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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.