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Finding the Fourth Proportional to 2,805.84, 4,211.52 and 1,510.08

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Solution

The fourth proportional to 2,805.84, 4,211.52 and 1,510.08 is: 2,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.84 : 4,211.52 = 1,510.08 : x
  2. Step 2: Convert to fraction form
    2,805.84/4,211.52 = 1,510.08/x
  3. Step 3: Cross multiply
    2,805.84x = 4,211.52 × 1,510.08
  4. Step 4: Simplify right side
    2,805.84x = 6,359,732.12
  5. Step 5: Solve for x
    x = 6,359,732.12/2,805.84
  6. Step 6: Final answer
    x = 2,266.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.