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Finding the Fourth Proportional to 2,358.64, 3,255.12 and 1,310.80

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Solution

The fourth proportional to 2,358.64, 3,255.12 and 1,310.80 is: 1,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.64 : 3,255.12 = 1,310.80 : x
  2. Step 2: Convert to fraction form
    2,358.64/3,255.12 = 1,310.80/x
  3. Step 3: Cross multiply
    2,358.64x = 3,255.12 × 1,310.80
  4. Step 4: Simplify right side
    2,358.64x = 4,266,811.30
  5. Step 5: Solve for x
    x = 4,266,811.30/2,358.64
  6. Step 6: Final answer
    x = 1,809.01

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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.