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Finding the Fourth Proportional to 2,354.95, 3,532.47 and 794.98

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Solution

The fourth proportional to 2,354.95, 3,532.47 and 794.98 is: 1,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.95 : 3,532.47 = 794.98 : x
  2. Step 2: Convert to fraction form
    2,354.95/3,532.47 = 794.98/x
  3. Step 3: Cross multiply
    2,354.95x = 3,532.47 × 794.98
  4. Step 4: Simplify right side
    2,354.95x = 2,808,243.00
  5. Step 5: Solve for x
    x = 2,808,243.00/2,354.95
  6. Step 6: Final answer
    x = 1,192.49

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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.