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Finding the Fourth Proportional to 1,529.96, 2,294.03 and 1,010.21

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Solution

The fourth proportional to 1,529.96, 2,294.03 and 1,010.21 is: 1,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.96 : 2,294.03 = 1,010.21 : x
  2. Step 2: Convert to fraction form
    1,529.96/2,294.03 = 1,010.21/x
  3. Step 3: Cross multiply
    1,529.96x = 2,294.03 × 1,010.21
  4. Step 4: Simplify right side
    1,529.96x = 2,317,460.31
  5. Step 5: Solve for x
    x = 2,317,460.31/1,529.96
  6. Step 6: Final answer
    x = 1,514.72

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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.