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Finding the Fourth Proportional to 2,095.64, 3,142.71 and 614.45

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Solution

The fourth proportional to 2,095.64, 3,142.71 and 614.45 is: 921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.64 : 3,142.71 = 614.45 : x
  2. Step 2: Convert to fraction form
    2,095.64/3,142.71 = 614.45/x
  3. Step 3: Cross multiply
    2,095.64x = 3,142.71 × 614.45
  4. Step 4: Simplify right side
    2,095.64x = 1,931,022.45
  5. Step 5: Solve for x
    x = 1,931,022.45/2,095.64
  6. Step 6: Final answer
    x = 921.45

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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.