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Finding the Fourth Proportional to 1,821.70, 2,514 and 1,035.75

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Solution

The fourth proportional to 1,821.70, 2,514 and 1,035.75 is: 1,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.70 : 2,514 = 1,035.75 : x
  2. Step 2: Convert to fraction form
    1,821.70/2,514 = 1,035.75/x
  3. Step 3: Cross multiply
    1,821.70x = 2,514 × 1,035.75
  4. Step 4: Simplify right side
    1,821.70x = 2,603,875.50
  5. Step 5: Solve for x
    x = 2,603,875.50/1,821.70
  6. Step 6: Final answer
    x = 1,429.37

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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.