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Finding the Fourth Proportional to 1,652.85, 2,477.73 and 830.16

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Solution

The fourth proportional to 1,652.85, 2,477.73 and 830.16 is: 1,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.85 : 2,477.73 = 830.16 : x
  2. Step 2: Convert to fraction form
    1,652.85/2,477.73 = 830.16/x
  3. Step 3: Cross multiply
    1,652.85x = 2,477.73 × 830.16
  4. Step 4: Simplify right side
    1,652.85x = 2,056,912.34
  5. Step 5: Solve for x
    x = 2,056,912.34/1,652.85
  6. Step 6: Final answer
    x = 1,244.46

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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.