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Finding the Fourth Proportional to 2,978.06, 4,109.09 and 1,798.91

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Solution

The fourth proportional to 2,978.06, 4,109.09 and 1,798.91 is: 2,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.06 : 4,109.09 = 1,798.91 : x
  2. Step 2: Convert to fraction form
    2,978.06/4,109.09 = 1,798.91/x
  3. Step 3: Cross multiply
    2,978.06x = 4,109.09 × 1,798.91
  4. Step 4: Simplify right side
    2,978.06x = 7,391,853.55
  5. Step 5: Solve for x
    x = 7,391,853.55/2,978.06
  6. Step 6: Final answer
    x = 2,482.10

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