Home / 2,442.10-3,663.15-982.30

Finding the Fourth Proportional to 2,442.10, 3,663.15 and 982.30

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Solution

The fourth proportional to 2,442.10, 3,663.15 and 982.30 is: 1,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.10 : 3,663.15 = 982.30 : x
  2. Step 2: Convert to fraction form
    2,442.10/3,663.15 = 982.30/x
  3. Step 3: Cross multiply
    2,442.10x = 3,663.15 × 982.30
  4. Step 4: Simplify right side
    2,442.10x = 3,598,312.25
  5. Step 5: Solve for x
    x = 3,598,312.25/2,442.10
  6. Step 6: Final answer
    x = 1,473.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.