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Finding the Fourth Proportional to 1,873.57, 2,584.95 and 1,087.47

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Solution

The fourth proportional to 1,873.57, 2,584.95 and 1,087.47 is: 1,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.57 : 2,584.95 = 1,087.47 : x
  2. Step 2: Convert to fraction form
    1,873.57/2,584.95 = 1,087.47/x
  3. Step 3: Cross multiply
    1,873.57x = 2,584.95 × 1,087.47
  4. Step 4: Simplify right side
    1,873.57x = 2,811,055.58
  5. Step 5: Solve for x
    x = 2,811,055.58/1,873.57
  6. Step 6: Final answer
    x = 1,500.37

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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.