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Finding the Fourth Proportional to 1,719.76, 2,373.04 and 1,021

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Solution

The fourth proportional to 1,719.76, 2,373.04 and 1,021 is: 1,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.76 : 2,373.04 = 1,021 : x
  2. Step 2: Convert to fraction form
    1,719.76/2,373.04 = 1,021/x
  3. Step 3: Cross multiply
    1,719.76x = 2,373.04 × 1,021
  4. Step 4: Simplify right side
    1,719.76x = 2,422,873.84
  5. Step 5: Solve for x
    x = 2,422,873.84/1,719.76
  6. Step 6: Final answer
    x = 1,408.84

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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.