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Finding the Fourth Proportional to 2,126.96, 3,190.58 and 893.13

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Solution

The fourth proportional to 2,126.96, 3,190.58 and 893.13 is: 1,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.96 : 3,190.58 = 893.13 : x
  2. Step 2: Convert to fraction form
    2,126.96/3,190.58 = 893.13/x
  3. Step 3: Cross multiply
    2,126.96x = 3,190.58 × 893.13
  4. Step 4: Simplify right side
    2,126.96x = 2,849,598.25
  5. Step 5: Solve for x
    x = 2,849,598.25/2,126.96
  6. Step 6: Final answer
    x = 1,339.75

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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.