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Finding the Fourth Proportional to 2,354.13, 3,530.88 and 794.34

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Solution

The fourth proportional to 2,354.13, 3,530.88 and 794.34 is: 1,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.13 : 3,530.88 = 794.34 : x
  2. Step 2: Convert to fraction form
    2,354.13/3,530.88 = 794.34/x
  3. Step 3: Cross multiply
    2,354.13x = 3,530.88 × 794.34
  4. Step 4: Simplify right side
    2,354.13x = 2,804,719.22
  5. Step 5: Solve for x
    x = 2,804,719.22/2,354.13
  6. Step 6: Final answer
    x = 1,191.40

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Why These Related Problems?

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