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Finding the Fourth Proportional to 2,326.64, 3,492.27 and 1,893.00

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Solution

The fourth proportional to 2,326.64, 3,492.27 and 1,893.00 is: 2,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.64 : 3,492.27 = 1,893.00 : x
  2. Step 2: Convert to fraction form
    2,326.64/3,492.27 = 1,893.00/x
  3. Step 3: Cross multiply
    2,326.64x = 3,492.27 × 1,893.00
  4. Step 4: Simplify right side
    2,326.64x = 6,610,880.21
  5. Step 5: Solve for x
    x = 6,610,880.21/2,326.64
  6. Step 6: Final answer
    x = 2,841.38

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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.