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Finding the Fourth Proportional to 2,616.40, 3,670.25 and 2,616.40

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Solution

The fourth proportional to 2,616.40, 3,670.25 and 2,616.40 is: 3,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.40 : 3,670.25 = 2,616.40 : x
  2. Step 2: Convert to fraction form
    2,616.40/3,670.25 = 2,616.40/x
  3. Step 3: Cross multiply
    2,616.40x = 3,670.25 × 2,616.40
  4. Step 4: Simplify right side
    2,616.40x = 9,602,842.10
  5. Step 5: Solve for x
    x = 9,602,842.10/2,616.40
  6. Step 6: Final answer
    x = 3,670.25

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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.