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Finding the Fourth Proportional to 3,068.02, 4,601.42 and 876.97

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Solution

The fourth proportional to 3,068.02, 4,601.42 and 876.97 is: 1,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.02 : 4,601.42 = 876.97 : x
  2. Step 2: Convert to fraction form
    3,068.02/4,601.42 = 876.97/x
  3. Step 3: Cross multiply
    3,068.02x = 4,601.42 × 876.97
  4. Step 4: Simplify right side
    3,068.02x = 4,035,307.30
  5. Step 5: Solve for x
    x = 4,035,307.30/3,068.02
  6. Step 6: Final answer
    x = 1,315.28

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1.5x scale

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.