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Finding the Fourth Proportional to 1,326.34, 1,827.82 and 972.36

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Solution

The fourth proportional to 1,326.34, 1,827.82 and 972.36 is: 1,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.34 : 1,827.82 = 972.36 : x
  2. Step 2: Convert to fraction form
    1,326.34/1,827.82 = 972.36/x
  3. Step 3: Cross multiply
    1,326.34x = 1,827.82 × 972.36
  4. Step 4: Simplify right side
    1,326.34x = 1,777,299.06
  5. Step 5: Solve for x
    x = 1,777,299.06/1,326.34
  6. Step 6: Final answer
    x = 1,340.00

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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.