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Finding the Fourth Proportional to 2,064.14, 3,096.23 and 525.14

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Solution

The fourth proportional to 2,064.14, 3,096.23 and 525.14 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.14 : 3,096.23 = 525.14 : x
  2. Step 2: Convert to fraction form
    2,064.14/3,096.23 = 525.14/x
  3. Step 3: Cross multiply
    2,064.14x = 3,096.23 × 525.14
  4. Step 4: Simplify right side
    2,064.14x = 1,625,954.22
  5. Step 5: Solve for x
    x = 1,625,954.22/2,064.14
  6. Step 6: Final answer
    x = 787.72

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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.