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Finding the Fourth Proportional to 2,617.05, 3,670.35 and 2,617.05

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Solution

The fourth proportional to 2,617.05, 3,670.35 and 2,617.05 is: 3,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.05 : 3,670.35 = 2,617.05 : x
  2. Step 2: Convert to fraction form
    2,617.05/3,670.35 = 2,617.05/x
  3. Step 3: Cross multiply
    2,617.05x = 3,670.35 × 2,617.05
  4. Step 4: Simplify right side
    2,617.05x = 9,605,489.47
  5. Step 5: Solve for x
    x = 9,605,489.47/2,617.05
  6. Step 6: Final answer
    x = 3,670.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.