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Finding the Fourth Proportional to 2,326.64, 3,490.76 and 1,094.99

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Solution

The fourth proportional to 2,326.64, 3,490.76 and 1,094.99 is: 1,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.64 : 3,490.76 = 1,094.99 : x
  2. Step 2: Convert to fraction form
    2,326.64/3,490.76 = 1,094.99/x
  3. Step 3: Cross multiply
    2,326.64x = 3,490.76 × 1,094.99
  4. Step 4: Simplify right side
    2,326.64x = 3,822,332.58
  5. Step 5: Solve for x
    x = 3,822,332.58/2,326.64
  6. Step 6: Final answer
    x = 1,642.86

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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.