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Finding the Fourth Proportional to 4,258, 6,385.08 and 1,660.88

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Solution

The fourth proportional to 4,258, 6,385.08 and 1,660.88 is: 2,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258 : 6,385.08 = 1,660.88 : x
  2. Step 2: Convert to fraction form
    4,258/6,385.08 = 1,660.88/x
  3. Step 3: Cross multiply
    4,258x = 6,385.08 × 1,660.88
  4. Step 4: Simplify right side
    4,258x = 10,604,851.67
  5. Step 5: Solve for x
    x = 10,604,851.67/4,258
  6. Step 6: Final answer
    x = 2,490.57

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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.