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Finding the Fourth Proportional to 2,897.64, 4,345.92 and 1,809

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Solution

The fourth proportional to 2,897.64, 4,345.92 and 1,809 is: 2,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.64 : 4,345.92 = 1,809 : x
  2. Step 2: Convert to fraction form
    2,897.64/4,345.92 = 1,809/x
  3. Step 3: Cross multiply
    2,897.64x = 4,345.92 × 1,809
  4. Step 4: Simplify right side
    2,897.64x = 7,861,769.28
  5. Step 5: Solve for x
    x = 7,861,769.28/2,897.64
  6. Step 6: Final answer
    x = 2,713.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.