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Finding the Fourth Proportional to 2,010.34, 2,774.12 and 1,125.98

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Solution

The fourth proportional to 2,010.34, 2,774.12 and 1,125.98 is: 1,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.34 : 2,774.12 = 1,125.98 : x
  2. Step 2: Convert to fraction form
    2,010.34/2,774.12 = 1,125.98/x
  3. Step 3: Cross multiply
    2,010.34x = 2,774.12 × 1,125.98
  4. Step 4: Simplify right side
    2,010.34x = 3,123,603.64
  5. Step 5: Solve for x
    x = 3,123,603.64/2,010.34
  6. Step 6: Final answer
    x = 1,553.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.