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Finding the Fourth Proportional to 1,889.68, 2,831.28 and 1,524.64

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Solution

The fourth proportional to 1,889.68, 2,831.28 and 1,524.64 is: 2,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.68 : 2,831.28 = 1,524.64 : x
  2. Step 2: Convert to fraction form
    1,889.68/2,831.28 = 1,524.64/x
  3. Step 3: Cross multiply
    1,889.68x = 2,831.28 × 1,524.64
  4. Step 4: Simplify right side
    1,889.68x = 4,316,682.74
  5. Step 5: Solve for x
    x = 4,316,682.74/1,889.68
  6. Step 6: Final answer
    x = 2,284.35

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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.