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Finding the Fourth Proportional to 1,564.03, 2,158.14 and 865.41

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Solution

The fourth proportional to 1,564.03, 2,158.14 and 865.41 is: 1,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.03 : 2,158.14 = 865.41 : x
  2. Step 2: Convert to fraction form
    1,564.03/2,158.14 = 865.41/x
  3. Step 3: Cross multiply
    1,564.03x = 2,158.14 × 865.41
  4. Step 4: Simplify right side
    1,564.03x = 1,867,675.94
  5. Step 5: Solve for x
    x = 1,867,675.94/1,564.03
  6. Step 6: Final answer
    x = 1,194.14

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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.