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Finding the Fourth Proportional to 1,719.64, 2,373.66 and 1,011.44

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Solution

The fourth proportional to 1,719.64, 2,373.66 and 1,011.44 is: 1,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.64 : 2,373.66 = 1,011.44 : x
  2. Step 2: Convert to fraction form
    1,719.64/2,373.66 = 1,011.44/x
  3. Step 3: Cross multiply
    1,719.64x = 2,373.66 × 1,011.44
  4. Step 4: Simplify right side
    1,719.64x = 2,400,809.61
  5. Step 5: Solve for x
    x = 2,400,809.61/1,719.64
  6. Step 6: Final answer
    x = 1,396.12

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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.