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Finding the Fourth Proportional to 1,252.50, 1,876.52 and 1,068.02

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Solution

The fourth proportional to 1,252.50, 1,876.52 and 1,068.02 is: 1,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.50 : 1,876.52 = 1,068.02 : x
  2. Step 2: Convert to fraction form
    1,252.50/1,876.52 = 1,068.02/x
  3. Step 3: Cross multiply
    1,252.50x = 1,876.52 × 1,068.02
  4. Step 4: Simplify right side
    1,252.50x = 2,004,160.89
  5. Step 5: Solve for x
    x = 2,004,160.89/1,252.50
  6. Step 6: Final answer
    x = 1,600.13

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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.