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Finding the Fourth Proportional to 2,046.14, 3,069.18 and 507.14

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Solution

The fourth proportional to 2,046.14, 3,069.18 and 507.14 is: 760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.14 : 3,069.18 = 507.14 : x
  2. Step 2: Convert to fraction form
    2,046.14/3,069.18 = 507.14/x
  3. Step 3: Cross multiply
    2,046.14x = 3,069.18 × 507.14
  4. Step 4: Simplify right side
    2,046.14x = 1,556,503.95
  5. Step 5: Solve for x
    x = 1,556,503.95/2,046.14
  6. Step 6: Final answer
    x = 760.70

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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.