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Finding the Fourth Proportional to 1,762.04, 2,644.68 and 1,656.20

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Solution

The fourth proportional to 1,762.04, 2,644.68 and 1,656.20 is: 2,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.04 : 2,644.68 = 1,656.20 : x
  2. Step 2: Convert to fraction form
    1,762.04/2,644.68 = 1,656.20/x
  3. Step 3: Cross multiply
    1,762.04x = 2,644.68 × 1,656.20
  4. Step 4: Simplify right side
    1,762.04x = 4,380,119.02
  5. Step 5: Solve for x
    x = 4,380,119.02/1,762.04
  6. Step 6: Final answer
    x = 2,485.82

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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.