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Finding the Fourth Proportional to 1,719.42, 2,372.80 and 933.46

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Solution

The fourth proportional to 1,719.42, 2,372.80 and 933.46 is: 1,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.42 : 2,372.80 = 933.46 : x
  2. Step 2: Convert to fraction form
    1,719.42/2,372.80 = 933.46/x
  3. Step 3: Cross multiply
    1,719.42x = 2,372.80 × 933.46
  4. Step 4: Simplify right side
    1,719.42x = 2,214,913.89
  5. Step 5: Solve for x
    x = 2,214,913.89/1,719.42
  6. Step 6: Final answer
    x = 1,288.18

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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.