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Finding the Fourth Proportional to 2,466.80, 3,699.12 and 735.08

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Solution

The fourth proportional to 2,466.80, 3,699.12 and 735.08 is: 1,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.80 : 3,699.12 = 735.08 : x
  2. Step 2: Convert to fraction form
    2,466.80/3,699.12 = 735.08/x
  3. Step 3: Cross multiply
    2,466.80x = 3,699.12 × 735.08
  4. Step 4: Simplify right side
    2,466.80x = 2,719,149.13
  5. Step 5: Solve for x
    x = 2,719,149.13/2,466.80
  6. Step 6: Final answer
    x = 1,102.30

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1.5x scale

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.