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Finding the Fourth Proportional to 1,808.42, 2,713.02 and 575.93

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Solution

The fourth proportional to 1,808.42, 2,713.02 and 575.93 is: 864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.42 : 2,713.02 = 575.93 : x
  2. Step 2: Convert to fraction form
    1,808.42/2,713.02 = 575.93/x
  3. Step 3: Cross multiply
    1,808.42x = 2,713.02 × 575.93
  4. Step 4: Simplify right side
    1,808.42x = 1,562,493.16
  5. Step 5: Solve for x
    x = 1,562,493.16/1,808.42
  6. Step 6: Final answer
    x = 864.01

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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.