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Finding the Fourth Proportional to 1,642.64, 2,263.41 and 1,117.76

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Solution

The fourth proportional to 1,642.64, 2,263.41 and 1,117.76 is: 1,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.64 : 2,263.41 = 1,117.76 : x
  2. Step 2: Convert to fraction form
    1,642.64/2,263.41 = 1,117.76/x
  3. Step 3: Cross multiply
    1,642.64x = 2,263.41 × 1,117.76
  4. Step 4: Simplify right side
    1,642.64x = 2,529,949.16
  5. Step 5: Solve for x
    x = 2,529,949.16/1,642.64
  6. Step 6: Final answer
    x = 1,540.17

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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.