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Finding the Fourth Proportional to 2,046.04, 3,069.10 and 507

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Solution

The fourth proportional to 2,046.04, 3,069.10 and 507 is: 760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.04 : 3,069.10 = 507 : x
  2. Step 2: Convert to fraction form
    2,046.04/3,069.10 = 507/x
  3. Step 3: Cross multiply
    2,046.04x = 3,069.10 × 507
  4. Step 4: Simplify right side
    2,046.04x = 1,556,033.70
  5. Step 5: Solve for x
    x = 1,556,033.70/2,046.04
  6. Step 6: Final answer
    x = 760.51

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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.