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Finding the Fourth Proportional to 2,359.95, 3,256.56 and 1,697.96

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Solution

The fourth proportional to 2,359.95, 3,256.56 and 1,697.96 is: 2,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.95 : 3,256.56 = 1,697.96 : x
  2. Step 2: Convert to fraction form
    2,359.95/3,256.56 = 1,697.96/x
  3. Step 3: Cross multiply
    2,359.95x = 3,256.56 × 1,697.96
  4. Step 4: Simplify right side
    2,359.95x = 5,529,492.33
  5. Step 5: Solve for x
    x = 5,529,492.33/2,359.95
  6. Step 6: Final answer
    x = 2,343.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.