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Finding the Fourth Proportional to 1,720.47, 2,376.21 and 1,133.62

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Solution

The fourth proportional to 1,720.47, 2,376.21 and 1,133.62 is: 1,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.47 : 2,376.21 = 1,133.62 : x
  2. Step 2: Convert to fraction form
    1,720.47/2,376.21 = 1,133.62/x
  3. Step 3: Cross multiply
    1,720.47x = 2,376.21 × 1,133.62
  4. Step 4: Simplify right side
    1,720.47x = 2,693,719.18
  5. Step 5: Solve for x
    x = 2,693,719.18/1,720.47
  6. Step 6: Final answer
    x = 1,565.69

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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.