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Finding the Fourth Proportional to 2,083.25, 2,870.93 and 1,492.76

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Solution

The fourth proportional to 2,083.25, 2,870.93 and 1,492.76 is: 2,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.25 : 2,870.93 = 1,492.76 : x
  2. Step 2: Convert to fraction form
    2,083.25/2,870.93 = 1,492.76/x
  3. Step 3: Cross multiply
    2,083.25x = 2,870.93 × 1,492.76
  4. Step 4: Simplify right side
    2,083.25x = 4,285,620.38
  5. Step 5: Solve for x
    x = 4,285,620.38/2,083.25
  6. Step 6: Final answer
    x = 2,057.18

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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.