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Finding the Fourth Proportional to 1,815.71, 2,505.71 and 1,029.78

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Solution

The fourth proportional to 1,815.71, 2,505.71 and 1,029.78 is: 1,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.71 : 2,505.71 = 1,029.78 : x
  2. Step 2: Convert to fraction form
    1,815.71/2,505.71 = 1,029.78/x
  3. Step 3: Cross multiply
    1,815.71x = 2,505.71 × 1,029.78
  4. Step 4: Simplify right side
    1,815.71x = 2,580,332.62
  5. Step 5: Solve for x
    x = 2,580,332.62/1,815.71
  6. Step 6: Final answer
    x = 1,421.12

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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.