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Finding the Fourth Proportional to 1,688.76, 2,534.96 and 1,417.82

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Solution

The fourth proportional to 1,688.76, 2,534.96 and 1,417.82 is: 2,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.76 : 2,534.96 = 1,417.82 : x
  2. Step 2: Convert to fraction form
    1,688.76/2,534.96 = 1,417.82/x
  3. Step 3: Cross multiply
    1,688.76x = 2,534.96 × 1,417.82
  4. Step 4: Simplify right side
    1,688.76x = 3,594,107.86
  5. Step 5: Solve for x
    x = 3,594,107.86/1,688.76
  6. Step 6: Final answer
    x = 2,128.25

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