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Finding the Fourth Proportional to 1,985.59, 2,978.39 and 670.83

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Solution

The fourth proportional to 1,985.59, 2,978.39 and 670.83 is: 1,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.59 : 2,978.39 = 670.83 : x
  2. Step 2: Convert to fraction form
    1,985.59/2,978.39 = 670.83/x
  3. Step 3: Cross multiply
    1,985.59x = 2,978.39 × 670.83
  4. Step 4: Simplify right side
    1,985.59x = 1,997,993.36
  5. Step 5: Solve for x
    x = 1,997,993.36/1,985.59
  6. Step 6: Final answer
    x = 1,006.25

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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.