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Finding the Fourth Proportional to 2,327.79, 3,492.33 and 1,029.57

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Solution

The fourth proportional to 2,327.79, 3,492.33 and 1,029.57 is: 1,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.79 : 3,492.33 = 1,029.57 : x
  2. Step 2: Convert to fraction form
    2,327.79/3,492.33 = 1,029.57/x
  3. Step 3: Cross multiply
    2,327.79x = 3,492.33 × 1,029.57
  4. Step 4: Simplify right side
    2,327.79x = 3,595,598.20
  5. Step 5: Solve for x
    x = 3,595,598.20/2,327.79
  6. Step 6: Final answer
    x = 1,544.64

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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.