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Finding the Fourth Proportional to 1,886.44, 2,828.76 and 587.56

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Solution

The fourth proportional to 1,886.44, 2,828.76 and 587.56 is: 881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.44 : 2,828.76 = 587.56 : x
  2. Step 2: Convert to fraction form
    1,886.44/2,828.76 = 587.56/x
  3. Step 3: Cross multiply
    1,886.44x = 2,828.76 × 587.56
  4. Step 4: Simplify right side
    1,886.44x = 1,662,066.23
  5. Step 5: Solve for x
    x = 1,662,066.23/1,886.44
  6. Step 6: Final answer
    x = 881.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.