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Finding the Fourth Proportional to 1,886.22, 2,828.04 and 1,021.14

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Solution

The fourth proportional to 1,886.22, 2,828.04 and 1,021.14 is: 1,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.22 : 2,828.04 = 1,021.14 : x
  2. Step 2: Convert to fraction form
    1,886.22/2,828.04 = 1,021.14/x
  3. Step 3: Cross multiply
    1,886.22x = 2,828.04 × 1,021.14
  4. Step 4: Simplify right side
    1,886.22x = 2,887,824.77
  5. Step 5: Solve for x
    x = 2,887,824.77/1,886.22
  6. Step 6: Final answer
    x = 1,531.01

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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.