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Finding the Fourth Proportional to 1,887.75, 2,831.88 and 589.32

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Solution

The fourth proportional to 1,887.75, 2,831.88 and 589.32 is: 884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.75 : 2,831.88 = 589.32 : x
  2. Step 2: Convert to fraction form
    1,887.75/2,831.88 = 589.32/x
  3. Step 3: Cross multiply
    1,887.75x = 2,831.88 × 589.32
  4. Step 4: Simplify right side
    1,887.75x = 1,668,883.52
  5. Step 5: Solve for x
    x = 1,668,883.52/1,887.75
  6. Step 6: Final answer
    x = 884.06

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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.