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Finding the Fourth Proportional to 2,473.64, 3,407.76 and 1,726.28

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Solution

The fourth proportional to 2,473.64, 3,407.76 and 1,726.28 is: 2,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.64 : 3,407.76 = 1,726.28 : x
  2. Step 2: Convert to fraction form
    2,473.64/3,407.76 = 1,726.28/x
  3. Step 3: Cross multiply
    2,473.64x = 3,407.76 × 1,726.28
  4. Step 4: Simplify right side
    2,473.64x = 5,882,730.89
  5. Step 5: Solve for x
    x = 5,882,730.89/2,473.64
  6. Step 6: Final answer
    x = 2,378.17

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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.