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Finding the Fourth Proportional to 3,232.92, 4,849.28 and 924.40

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Solution

The fourth proportional to 3,232.92, 4,849.28 and 924.40 is: 1,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.92 : 4,849.28 = 924.40 : x
  2. Step 2: Convert to fraction form
    3,232.92/4,849.28 = 924.40/x
  3. Step 3: Cross multiply
    3,232.92x = 4,849.28 × 924.40
  4. Step 4: Simplify right side
    3,232.92x = 4,482,674.43
  5. Step 5: Solve for x
    x = 4,482,674.43/3,232.92
  6. Step 6: Final answer
    x = 1,386.57

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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.