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Finding the Fourth Proportional to 2,333.64, 3,221.10 and 1,864.80

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Solution

The fourth proportional to 2,333.64, 3,221.10 and 1,864.80 is: 2,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.64 : 3,221.10 = 1,864.80 : x
  2. Step 2: Convert to fraction form
    2,333.64/3,221.10 = 1,864.80/x
  3. Step 3: Cross multiply
    2,333.64x = 3,221.10 × 1,864.80
  4. Step 4: Simplify right side
    2,333.64x = 6,006,707.28
  5. Step 5: Solve for x
    x = 6,006,707.28/2,333.64
  6. Step 6: Final answer
    x = 2,573.96

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1.5x scale

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.