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Finding the Fourth Proportional to 2,333.21, 3,497.65 and 793.13

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Solution

The fourth proportional to 2,333.21, 3,497.65 and 793.13 is: 1,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.21 : 3,497.65 = 793.13 : x
  2. Step 2: Convert to fraction form
    2,333.21/3,497.65 = 793.13/x
  3. Step 3: Cross multiply
    2,333.21x = 3,497.65 × 793.13
  4. Step 4: Simplify right side
    2,333.21x = 2,774,071.67
  5. Step 5: Solve for x
    x = 2,774,071.67/2,333.21
  6. Step 6: Final answer
    x = 1,188.95

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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.