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Finding the Fourth Proportional to 1,769.02, 2,656.12 and 990.54

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Solution

The fourth proportional to 1,769.02, 2,656.12 and 990.54 is: 1,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.02 : 2,656.12 = 990.54 : x
  2. Step 2: Convert to fraction form
    1,769.02/2,656.12 = 990.54/x
  3. Step 3: Cross multiply
    1,769.02x = 2,656.12 × 990.54
  4. Step 4: Simplify right side
    1,769.02x = 2,630,994.34
  5. Step 5: Solve for x
    x = 2,630,994.34/1,769.02
  6. Step 6: Final answer
    x = 1,487.26

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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.