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Finding the Fourth Proportional to 2,353.64, 3,531.42 and 814.76

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Solution

The fourth proportional to 2,353.64, 3,531.42 and 814.76 is: 1,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.64 : 3,531.42 = 814.76 : x
  2. Step 2: Convert to fraction form
    2,353.64/3,531.42 = 814.76/x
  3. Step 3: Cross multiply
    2,353.64x = 3,531.42 × 814.76
  4. Step 4: Simplify right side
    2,353.64x = 2,877,259.76
  5. Step 5: Solve for x
    x = 2,877,259.76/2,353.64
  6. Step 6: Final answer
    x = 1,222.47

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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.