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Finding the Fourth Proportional to 2,985.24, 4,477.53 and 794.19

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Solution

The fourth proportional to 2,985.24, 4,477.53 and 794.19 is: 1,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.24 : 4,477.53 = 794.19 : x
  2. Step 2: Convert to fraction form
    2,985.24/4,477.53 = 794.19/x
  3. Step 3: Cross multiply
    2,985.24x = 4,477.53 × 794.19
  4. Step 4: Simplify right side
    2,985.24x = 3,556,004.13
  5. Step 5: Solve for x
    x = 3,556,004.13/2,985.24
  6. Step 6: Final answer
    x = 1,191.20

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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.