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Finding the Fourth Proportional to 1,425.78, 1,971.18 and 1,364.58

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Solution

The fourth proportional to 1,425.78, 1,971.18 and 1,364.58 is: 1,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.78 : 1,971.18 = 1,364.58 : x
  2. Step 2: Convert to fraction form
    1,425.78/1,971.18 = 1,364.58/x
  3. Step 3: Cross multiply
    1,425.78x = 1,971.18 × 1,364.58
  4. Step 4: Simplify right side
    1,425.78x = 2,689,832.80
  5. Step 5: Solve for x
    x = 2,689,832.80/1,425.78
  6. Step 6: Final answer
    x = 1,886.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.