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Finding the Fourth Proportional to 1,712.51, 2,564.62 and 979.86

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Solution

The fourth proportional to 1,712.51, 2,564.62 and 979.86 is: 1,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.51 : 2,564.62 = 979.86 : x
  2. Step 2: Convert to fraction form
    1,712.51/2,564.62 = 979.86/x
  3. Step 3: Cross multiply
    1,712.51x = 2,564.62 × 979.86
  4. Step 4: Simplify right side
    1,712.51x = 2,512,968.55
  5. Step 5: Solve for x
    x = 2,512,968.55/1,712.51
  6. Step 6: Final answer
    x = 1,467.42

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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.