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Finding the Fourth Proportional to 1,886.58, 2,831.09 and 716.58

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Solution

The fourth proportional to 1,886.58, 2,831.09 and 716.58 is: 1,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.58 : 2,831.09 = 716.58 : x
  2. Step 2: Convert to fraction form
    1,886.58/2,831.09 = 716.58/x
  3. Step 3: Cross multiply
    1,886.58x = 2,831.09 × 716.58
  4. Step 4: Simplify right side
    1,886.58x = 2,028,698.89
  5. Step 5: Solve for x
    x = 2,028,698.89/1,886.58
  6. Step 6: Final answer
    x = 1,075.33

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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.