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Finding the Fourth Proportional to 1,636.07, 2,257.71 and 890.02

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Solution

The fourth proportional to 1,636.07, 2,257.71 and 890.02 is: 1,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.07 : 2,257.71 = 890.02 : x
  2. Step 2: Convert to fraction form
    1,636.07/2,257.71 = 890.02/x
  3. Step 3: Cross multiply
    1,636.07x = 2,257.71 × 890.02
  4. Step 4: Simplify right side
    1,636.07x = 2,009,395.77
  5. Step 5: Solve for x
    x = 2,009,395.77/1,636.07
  6. Step 6: Final answer
    x = 1,228.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.