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Finding the Fourth Proportional to 2,326.81, 3,484.68 and 1,893.01

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Solution

The fourth proportional to 2,326.81, 3,484.68 and 1,893.01 is: 2,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.81 : 3,484.68 = 1,893.01 : x
  2. Step 2: Convert to fraction form
    2,326.81/3,484.68 = 1,893.01/x
  3. Step 3: Cross multiply
    2,326.81x = 3,484.68 × 1,893.01
  4. Step 4: Simplify right side
    2,326.81x = 6,596,534.09
  5. Step 5: Solve for x
    x = 6,596,534.09/2,326.81
  6. Step 6: Final answer
    x = 2,835.01

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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.