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Finding the Fourth Proportional to 1,810.69, 2,498.65 and 1,313.96

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Solution

The fourth proportional to 1,810.69, 2,498.65 and 1,313.96 is: 1,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.69 : 2,498.65 = 1,313.96 : x
  2. Step 2: Convert to fraction form
    1,810.69/2,498.65 = 1,313.96/x
  3. Step 3: Cross multiply
    1,810.69x = 2,498.65 × 1,313.96
  4. Step 4: Simplify right side
    1,810.69x = 3,283,110.38
  5. Step 5: Solve for x
    x = 3,283,110.38/1,810.69
  6. Step 6: Final answer
    x = 1,813.18

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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.