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Finding the Fourth Proportional to 1,697.70, 2,343.80 and 1,298.63

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Solution

The fourth proportional to 1,697.70, 2,343.80 and 1,298.63 is: 1,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.70 : 2,343.80 = 1,298.63 : x
  2. Step 2: Convert to fraction form
    1,697.70/2,343.80 = 1,298.63/x
  3. Step 3: Cross multiply
    1,697.70x = 2,343.80 × 1,298.63
  4. Step 4: Simplify right side
    1,697.70x = 3,043,710.78
  5. Step 5: Solve for x
    x = 3,043,710.78/1,697.70
  6. Step 6: Final answer
    x = 1,792.84

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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.