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Finding the Fourth Proportional to 2,095.84, 2,892 and 1,310.14

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Solution

The fourth proportional to 2,095.84, 2,892 and 1,310.14 is: 1,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.84 : 2,892 = 1,310.14 : x
  2. Step 2: Convert to fraction form
    2,095.84/2,892 = 1,310.14/x
  3. Step 3: Cross multiply
    2,095.84x = 2,892 × 1,310.14
  4. Step 4: Simplify right side
    2,095.84x = 3,788,924.88
  5. Step 5: Solve for x
    x = 3,788,924.88/2,095.84
  6. Step 6: Final answer
    x = 1,807.83

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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.