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Finding the Fourth Proportional to 1,697.04, 2,546.28 and 926.64

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Solution

The fourth proportional to 1,697.04, 2,546.28 and 926.64 is: 1,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.04 : 2,546.28 = 926.64 : x
  2. Step 2: Convert to fraction form
    1,697.04/2,546.28 = 926.64/x
  3. Step 3: Cross multiply
    1,697.04x = 2,546.28 × 926.64
  4. Step 4: Simplify right side
    1,697.04x = 2,359,484.90
  5. Step 5: Solve for x
    x = 2,359,484.90/1,697.04
  6. Step 6: Final answer
    x = 1,390.35

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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.