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Finding the Fourth Proportional to 1,574.02, 2,172.15 and 865.87

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Solution

The fourth proportional to 1,574.02, 2,172.15 and 865.87 is: 1,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.02 : 2,172.15 = 865.87 : x
  2. Step 2: Convert to fraction form
    1,574.02/2,172.15 = 865.87/x
  3. Step 3: Cross multiply
    1,574.02x = 2,172.15 × 865.87
  4. Step 4: Simplify right side
    1,574.02x = 1,880,799.52
  5. Step 5: Solve for x
    x = 1,880,799.52/1,574.02
  6. Step 6: Final answer
    x = 1,194.90

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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.