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Finding the Fourth Proportional to 1,900.71, 2,852.58 and 860.79

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Solution

The fourth proportional to 1,900.71, 2,852.58 and 860.79 is: 1,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.71 : 2,852.58 = 860.79 : x
  2. Step 2: Convert to fraction form
    1,900.71/2,852.58 = 860.79/x
  3. Step 3: Cross multiply
    1,900.71x = 2,852.58 × 860.79
  4. Step 4: Simplify right side
    1,900.71x = 2,455,460.90
  5. Step 5: Solve for x
    x = 2,455,460.90/1,900.71
  6. Step 6: Final answer
    x = 1,291.87

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1.5x scale

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.