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Finding the Fourth Proportional to 2,834.98, 3,913.05 and 1,715.74

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Solution

The fourth proportional to 2,834.98, 3,913.05 and 1,715.74 is: 2,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.98 : 3,913.05 = 1,715.74 : x
  2. Step 2: Convert to fraction form
    2,834.98/3,913.05 = 1,715.74/x
  3. Step 3: Cross multiply
    2,834.98x = 3,913.05 × 1,715.74
  4. Step 4: Simplify right side
    2,834.98x = 6,713,776.41
  5. Step 5: Solve for x
    x = 6,713,776.41/2,834.98
  6. Step 6: Final answer
    x = 2,368.19

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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.