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Finding the Fourth Proportional to 1,564.30, 2,158.68 and 865.63

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Solution

The fourth proportional to 1,564.30, 2,158.68 and 865.63 is: 1,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.30 : 2,158.68 = 865.63 : x
  2. Step 2: Convert to fraction form
    1,564.30/2,158.68 = 865.63/x
  3. Step 3: Cross multiply
    1,564.30x = 2,158.68 × 865.63
  4. Step 4: Simplify right side
    1,564.30x = 1,868,618.17
  5. Step 5: Solve for x
    x = 1,868,618.17/1,564.30
  6. Step 6: Final answer
    x = 1,194.54

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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.