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Finding the Fourth Proportional to 1,829.03, 2,524.47 and 1,529.94

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Solution

The fourth proportional to 1,829.03, 2,524.47 and 1,529.94 is: 2,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.03 : 2,524.47 = 1,529.94 : x
  2. Step 2: Convert to fraction form
    1,829.03/2,524.47 = 1,529.94/x
  3. Step 3: Cross multiply
    1,829.03x = 2,524.47 × 1,529.94
  4. Step 4: Simplify right side
    1,829.03x = 3,862,277.16
  5. Step 5: Solve for x
    x = 3,862,277.16/1,829.03
  6. Step 6: Final answer
    x = 2,111.65

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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.