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Finding the Fourth Proportional to 2,978.93, 4,110.93 and 1,652.65

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Solution

The fourth proportional to 2,978.93, 4,110.93 and 1,652.65 is: 2,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.93 : 4,110.93 = 1,652.65 : x
  2. Step 2: Convert to fraction form
    2,978.93/4,110.93 = 1,652.65/x
  3. Step 3: Cross multiply
    2,978.93x = 4,110.93 × 1,652.65
  4. Step 4: Simplify right side
    2,978.93x = 6,793,918.19
  5. Step 5: Solve for x
    x = 6,793,918.19/2,978.93
  6. Step 6: Final answer
    x = 2,280.66

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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.