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Finding the Fourth Proportional to 1,858.87, 2,566.97 and 1,196.87

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Solution

The fourth proportional to 1,858.87, 2,566.97 and 1,196.87 is: 1,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.87 : 2,566.97 = 1,196.87 : x
  2. Step 2: Convert to fraction form
    1,858.87/2,566.97 = 1,196.87/x
  3. Step 3: Cross multiply
    1,858.87x = 2,566.97 × 1,196.87
  4. Step 4: Simplify right side
    1,858.87x = 3,072,332.38
  5. Step 5: Solve for x
    x = 3,072,332.38/1,858.87
  6. Step 6: Final answer
    x = 1,652.80

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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.