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Finding the Fourth Proportional to 1,652.66, 2,478.72 and 613.16

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Solution

The fourth proportional to 1,652.66, 2,478.72 and 613.16 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.66 : 2,478.72 = 613.16 : x
  2. Step 2: Convert to fraction form
    1,652.66/2,478.72 = 613.16/x
  3. Step 3: Cross multiply
    1,652.66x = 2,478.72 × 613.16
  4. Step 4: Simplify right side
    1,652.66x = 1,519,851.96
  5. Step 5: Solve for x
    x = 1,519,851.96/1,652.66
  6. Step 6: Final answer
    x = 919.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.