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Finding the Fourth Proportional to 2,653.83, 3,973.73 and 1,714.23

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Solution

The fourth proportional to 2,653.83, 3,973.73 and 1,714.23 is: 2,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.83 : 3,973.73 = 1,714.23 : x
  2. Step 2: Convert to fraction form
    2,653.83/3,973.73 = 1,714.23/x
  3. Step 3: Cross multiply
    2,653.83x = 3,973.73 × 1,714.23
  4. Step 4: Simplify right side
    2,653.83x = 6,811,878.61
  5. Step 5: Solve for x
    x = 6,811,878.61/2,653.83
  6. Step 6: Final answer
    x = 2,566.81

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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.