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Finding the Fourth Proportional to 1,829.52, 2,524.96 and 1,409.53

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Solution

The fourth proportional to 1,829.52, 2,524.96 and 1,409.53 is: 1,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.52 : 2,524.96 = 1,409.53 : x
  2. Step 2: Convert to fraction form
    1,829.52/2,524.96 = 1,409.53/x
  3. Step 3: Cross multiply
    1,829.52x = 2,524.96 × 1,409.53
  4. Step 4: Simplify right side
    1,829.52x = 3,559,006.87
  5. Step 5: Solve for x
    x = 3,559,006.87/1,829.52
  6. Step 6: Final answer
    x = 1,945.32

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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.