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Finding the Fourth Proportional to 2,294.68, 3,166.68 and 1,363

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Solution

The fourth proportional to 2,294.68, 3,166.68 and 1,363 is: 1,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.68 : 3,166.68 = 1,363 : x
  2. Step 2: Convert to fraction form
    2,294.68/3,166.68 = 1,363/x
  3. Step 3: Cross multiply
    2,294.68x = 3,166.68 × 1,363
  4. Step 4: Simplify right side
    2,294.68x = 4,316,184.84
  5. Step 5: Solve for x
    x = 4,316,184.84/2,294.68
  6. Step 6: Final answer
    x = 1,880.95

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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.