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Finding the Fourth Proportional to 3,254.40, 4,880.16 and 946.08

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Solution

The fourth proportional to 3,254.40, 4,880.16 and 946.08 is: 1,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.40 : 4,880.16 = 946.08 : x
  2. Step 2: Convert to fraction form
    3,254.40/4,880.16 = 946.08/x
  3. Step 3: Cross multiply
    3,254.40x = 4,880.16 × 946.08
  4. Step 4: Simplify right side
    3,254.40x = 4,617,021.77
  5. Step 5: Solve for x
    x = 4,617,021.77/3,254.40
  6. Step 6: Final answer
    x = 1,418.70

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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.