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Finding the Fourth Proportional to 2,762.16, 4,141.08 and 1,029.84

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Solution

The fourth proportional to 2,762.16, 4,141.08 and 1,029.84 is: 1,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.16 : 4,141.08 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    2,762.16/4,141.08 = 1,029.84/x
  3. Step 3: Cross multiply
    2,762.16x = 4,141.08 × 1,029.84
  4. Step 4: Simplify right side
    2,762.16x = 4,264,649.83
  5. Step 5: Solve for x
    x = 4,264,649.83/2,762.16
  6. Step 6: Final answer
    x = 1,543.95

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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.