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Finding the Fourth Proportional to 2,805.10, 3,869.74 and 1,810.70

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Solution

The fourth proportional to 2,805.10, 3,869.74 and 1,810.70 is: 2,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.10 : 3,869.74 = 1,810.70 : x
  2. Step 2: Convert to fraction form
    2,805.10/3,869.74 = 1,810.70/x
  3. Step 3: Cross multiply
    2,805.10x = 3,869.74 × 1,810.70
  4. Step 4: Simplify right side
    2,805.10x = 7,006,938.22
  5. Step 5: Solve for x
    x = 7,006,938.22/2,805.10
  6. Step 6: Final answer
    x = 2,497.93

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1.5x scale

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.