Home / 1,538.18-2,307.66-442.63

Finding the Fourth Proportional to 1,538.18, 2,307.66 and 442.63

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Solution

The fourth proportional to 1,538.18, 2,307.66 and 442.63 is: 664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.18 : 2,307.66 = 442.63 : x
  2. Step 2: Convert to fraction form
    1,538.18/2,307.66 = 442.63/x
  3. Step 3: Cross multiply
    1,538.18x = 2,307.66 × 442.63
  4. Step 4: Simplify right side
    1,538.18x = 1,021,447.26
  5. Step 5: Solve for x
    x = 1,021,447.26/1,538.18
  6. Step 6: Final answer
    x = 664.06

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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.