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Finding the Fourth Proportional to 1,465.47, 2,196.27 and 878.58

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Solution

The fourth proportional to 1,465.47, 2,196.27 and 878.58 is: 1,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.47 : 2,196.27 = 878.58 : x
  2. Step 2: Convert to fraction form
    1,465.47/2,196.27 = 878.58/x
  3. Step 3: Cross multiply
    1,465.47x = 2,196.27 × 878.58
  4. Step 4: Simplify right side
    1,465.47x = 1,929,598.90
  5. Step 5: Solve for x
    x = 1,929,598.90/1,465.47
  6. Step 6: Final answer
    x = 1,316.71

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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.