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Finding the Fourth Proportional to 2,985.79, 4,478.75 and 794.55

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Solution

The fourth proportional to 2,985.79, 4,478.75 and 794.55 is: 1,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.79 : 4,478.75 = 794.55 : x
  2. Step 2: Convert to fraction form
    2,985.79/4,478.75 = 794.55/x
  3. Step 3: Cross multiply
    2,985.79x = 4,478.75 × 794.55
  4. Step 4: Simplify right side
    2,985.79x = 3,558,590.81
  5. Step 5: Solve for x
    x = 3,558,590.81/2,985.79
  6. Step 6: Final answer
    x = 1,191.84

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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.