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Finding the Fourth Proportional to 2,368.52, 3,554.36 and 829.52

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Solution

The fourth proportional to 2,368.52, 3,554.36 and 829.52 is: 1,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.52 : 3,554.36 = 829.52 : x
  2. Step 2: Convert to fraction form
    2,368.52/3,554.36 = 829.52/x
  3. Step 3: Cross multiply
    2,368.52x = 3,554.36 × 829.52
  4. Step 4: Simplify right side
    2,368.52x = 2,948,412.71
  5. Step 5: Solve for x
    x = 2,948,412.71/2,368.52
  6. Step 6: Final answer
    x = 1,244.83

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1.5x scale

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.