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Finding the Fourth Proportional to 1,164.96, 1,742.58 and 1,051.35

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Solution

The fourth proportional to 1,164.96, 1,742.58 and 1,051.35 is: 1,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.96 : 1,742.58 = 1,051.35 : x
  2. Step 2: Convert to fraction form
    1,164.96/1,742.58 = 1,051.35/x
  3. Step 3: Cross multiply
    1,164.96x = 1,742.58 × 1,051.35
  4. Step 4: Simplify right side
    1,164.96x = 1,832,061.48
  5. Step 5: Solve for x
    x = 1,832,061.48/1,164.96
  6. Step 6: Final answer
    x = 1,572.64

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