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Finding the Fourth Proportional to 1,597.64, 2,392.14 and 1,229.48

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Solution

The fourth proportional to 1,597.64, 2,392.14 and 1,229.48 is: 1,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.64 : 2,392.14 = 1,229.48 : x
  2. Step 2: Convert to fraction form
    1,597.64/2,392.14 = 1,229.48/x
  3. Step 3: Cross multiply
    1,597.64x = 2,392.14 × 1,229.48
  4. Step 4: Simplify right side
    1,597.64x = 2,941,088.29
  5. Step 5: Solve for x
    x = 2,941,088.29/1,597.64
  6. Step 6: Final answer
    x = 1,840.90

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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.