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Finding the Fourth Proportional to 1,854.63, 2,777.09 and 1,303.83

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Solution

The fourth proportional to 1,854.63, 2,777.09 and 1,303.83 is: 1,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.63 : 2,777.09 = 1,303.83 : x
  2. Step 2: Convert to fraction form
    1,854.63/2,777.09 = 1,303.83/x
  3. Step 3: Cross multiply
    1,854.63x = 2,777.09 × 1,303.83
  4. Step 4: Simplify right side
    1,854.63x = 3,620,846.74
  5. Step 5: Solve for x
    x = 3,620,846.74/1,854.63
  6. Step 6: Final answer
    x = 1,952.33

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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.