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Finding the Fourth Proportional to 2,978.10, 4,111.02 and 1,798.88

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Solution

The fourth proportional to 2,978.10, 4,111.02 and 1,798.88 is: 2,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.10 : 4,111.02 = 1,798.88 : x
  2. Step 2: Convert to fraction form
    2,978.10/4,111.02 = 1,798.88/x
  3. Step 3: Cross multiply
    2,978.10x = 4,111.02 × 1,798.88
  4. Step 4: Simplify right side
    2,978.10x = 7,395,211.10
  5. Step 5: Solve for x
    x = 7,395,211.10/2,978.10
  6. Step 6: Final answer
    x = 2,483.20

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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.