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Finding the Fourth Proportional to 2,660.64, 3,670.80 and 1,776.60

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Solution

The fourth proportional to 2,660.64, 3,670.80 and 1,776.60 is: 2,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.64 : 3,670.80 = 1,776.60 : x
  2. Step 2: Convert to fraction form
    2,660.64/3,670.80 = 1,776.60/x
  3. Step 3: Cross multiply
    2,660.64x = 3,670.80 × 1,776.60
  4. Step 4: Simplify right side
    2,660.64x = 6,521,543.28
  5. Step 5: Solve for x
    x = 6,521,543.28/2,660.64
  6. Step 6: Final answer
    x = 2,451.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.