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Finding the Fourth Proportional to 2,093.91, 3,140.76 and 554.91

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Solution

The fourth proportional to 2,093.91, 3,140.76 and 554.91 is: 832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.91 : 3,140.76 = 554.91 : x
  2. Step 2: Convert to fraction form
    2,093.91/3,140.76 = 554.91/x
  3. Step 3: Cross multiply
    2,093.91x = 3,140.76 × 554.91
  4. Step 4: Simplify right side
    2,093.91x = 1,742,839.13
  5. Step 5: Solve for x
    x = 1,742,839.13/2,093.91
  6. Step 6: Final answer
    x = 832.34

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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.