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Finding the Fourth Proportional to 1,713.86, 2,364.49 and 1,315.85

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Solution

The fourth proportional to 1,713.86, 2,364.49 and 1,315.85 is: 1,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.86 : 2,364.49 = 1,315.85 : x
  2. Step 2: Convert to fraction form
    1,713.86/2,364.49 = 1,315.85/x
  3. Step 3: Cross multiply
    1,713.86x = 2,364.49 × 1,315.85
  4. Step 4: Simplify right side
    1,713.86x = 3,111,303.99
  5. Step 5: Solve for x
    x = 3,111,303.99/1,713.86
  6. Step 6: Final answer
    x = 1,815.38

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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.