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Finding the Fourth Proportional to 1,815.16, 2,504.98 and 1,029.24

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Solution

The fourth proportional to 1,815.16, 2,504.98 and 1,029.24 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.16 : 2,504.98 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    1,815.16/2,504.98 = 1,029.24/x
  3. Step 3: Cross multiply
    1,815.16x = 2,504.98 × 1,029.24
  4. Step 4: Simplify right side
    1,815.16x = 2,578,225.62
  5. Step 5: Solve for x
    x = 2,578,225.62/1,815.16
  6. Step 6: Final answer
    x = 1,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.