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Finding the Fourth Proportional to 1,886.82, 2,831.52 and 1,154.16

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Solution

The fourth proportional to 1,886.82, 2,831.52 and 1,154.16 is: 1,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.82 : 2,831.52 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    1,886.82/2,831.52 = 1,154.16/x
  3. Step 3: Cross multiply
    1,886.82x = 2,831.52 × 1,154.16
  4. Step 4: Simplify right side
    1,886.82x = 3,268,027.12
  5. Step 5: Solve for x
    x = 3,268,027.12/1,886.82
  6. Step 6: Final answer
    x = 1,732.03

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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.