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Finding the Fourth Proportional to 1,860.75, 2,565.20 and 1,329.48

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Solution

The fourth proportional to 1,860.75, 2,565.20 and 1,329.48 is: 1,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.75 : 2,565.20 = 1,329.48 : x
  2. Step 2: Convert to fraction form
    1,860.75/2,565.20 = 1,329.48/x
  3. Step 3: Cross multiply
    1,860.75x = 2,565.20 × 1,329.48
  4. Step 4: Simplify right side
    1,860.75x = 3,410,385.42
  5. Step 5: Solve for x
    x = 3,410,385.42/1,860.75
  6. Step 6: Final answer
    x = 1,832.80

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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.