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Finding the Fourth Proportional to 2,985.59, 4,477.88 and 794.34

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Solution

The fourth proportional to 2,985.59, 4,477.88 and 794.34 is: 1,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.59 : 4,477.88 = 794.34 : x
  2. Step 2: Convert to fraction form
    2,985.59/4,477.88 = 794.34/x
  3. Step 3: Cross multiply
    2,985.59x = 4,477.88 × 794.34
  4. Step 4: Simplify right side
    2,985.59x = 3,556,961.19
  5. Step 5: Solve for x
    x = 3,556,961.19/2,985.59
  6. Step 6: Final answer
    x = 1,191.38

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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.