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Finding the Fourth Proportional to 2,354.96, 3,533.27 and 795.14

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Solution

The fourth proportional to 2,354.96, 3,533.27 and 795.14 is: 1,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.96 : 3,533.27 = 795.14 : x
  2. Step 2: Convert to fraction form
    2,354.96/3,533.27 = 795.14/x
  3. Step 3: Cross multiply
    2,354.96x = 3,533.27 × 795.14
  4. Step 4: Simplify right side
    2,354.96x = 2,809,422.67
  5. Step 5: Solve for x
    x = 2,809,422.67/2,354.96
  6. Step 6: Final answer
    x = 1,192.98

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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.