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Finding the Fourth Proportional to 4,305.64, 6,461.72 and 1,708.80

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Solution

The fourth proportional to 4,305.64, 6,461.72 and 1,708.80 is: 2,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.64 : 6,461.72 = 1,708.80 : x
  2. Step 2: Convert to fraction form
    4,305.64/6,461.72 = 1,708.80/x
  3. Step 3: Cross multiply
    4,305.64x = 6,461.72 × 1,708.80
  4. Step 4: Simplify right side
    4,305.64x = 11,041,787.14
  5. Step 5: Solve for x
    x = 11,041,787.14/4,305.64
  6. Step 6: Final answer
    x = 2,564.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.