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Finding the Fourth Proportional to 2,093.90, 3,140.84 and 554.90

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Solution

The fourth proportional to 2,093.90, 3,140.84 and 554.90 is: 832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.90 : 3,140.84 = 554.90 : x
  2. Step 2: Convert to fraction form
    2,093.90/3,140.84 = 554.90/x
  3. Step 3: Cross multiply
    2,093.90x = 3,140.84 × 554.90
  4. Step 4: Simplify right side
    2,093.90x = 1,742,849.34
  5. Step 5: Solve for x
    x = 1,742,849.34/2,093.90
  6. Step 6: Final answer
    x = 832.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.