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Finding the Fourth Proportional to 2,810.49, 3,880.05 and 1,867.57

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Solution

The fourth proportional to 2,810.49, 3,880.05 and 1,867.57 is: 2,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.49 : 3,880.05 = 1,867.57 : x
  2. Step 2: Convert to fraction form
    2,810.49/3,880.05 = 1,867.57/x
  3. Step 3: Cross multiply
    2,810.49x = 3,880.05 × 1,867.57
  4. Step 4: Simplify right side
    2,810.49x = 7,246,264.98
  5. Step 5: Solve for x
    x = 7,246,264.98/2,810.49
  6. Step 6: Final answer
    x = 2,578.29

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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.