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Finding the Fourth Proportional to 1,833.81, 2,530.74 and 1,303.26

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Solution

The fourth proportional to 1,833.81, 2,530.74 and 1,303.26 is: 1,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.81 : 2,530.74 = 1,303.26 : x
  2. Step 2: Convert to fraction form
    1,833.81/2,530.74 = 1,303.26/x
  3. Step 3: Cross multiply
    1,833.81x = 2,530.74 × 1,303.26
  4. Step 4: Simplify right side
    1,833.81x = 3,298,212.21
  5. Step 5: Solve for x
    x = 3,298,212.21/1,833.81
  6. Step 6: Final answer
    x = 1,798.56

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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.