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Finding the Fourth Proportional to 2,259.44, 3,111.09 and 1,978.10

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Solution

The fourth proportional to 2,259.44, 3,111.09 and 1,978.10 is: 2,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.44 : 3,111.09 = 1,978.10 : x
  2. Step 2: Convert to fraction form
    2,259.44/3,111.09 = 1,978.10/x
  3. Step 3: Cross multiply
    2,259.44x = 3,111.09 × 1,978.10
  4. Step 4: Simplify right side
    2,259.44x = 6,154,047.13
  5. Step 5: Solve for x
    x = 6,154,047.13/2,259.44
  6. Step 6: Final answer
    x = 2,723.70

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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.