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Finding the Fourth Proportional to 2,368.50, 3,554.38 and 829.50

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Solution

The fourth proportional to 2,368.50, 3,554.38 and 829.50 is: 1,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.50 : 3,554.38 = 829.50 : x
  2. Step 2: Convert to fraction form
    2,368.50/3,554.38 = 829.50/x
  3. Step 3: Cross multiply
    2,368.50x = 3,554.38 × 829.50
  4. Step 4: Simplify right side
    2,368.50x = 2,948,358.21
  5. Step 5: Solve for x
    x = 2,948,358.21/2,368.50
  6. Step 6: Final answer
    x = 1,244.82

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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.