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Finding the Fourth Proportional to 1,565.32, 2,347.98 and 1,200.76

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Solution

The fourth proportional to 1,565.32, 2,347.98 and 1,200.76 is: 1,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.32 : 2,347.98 = 1,200.76 : x
  2. Step 2: Convert to fraction form
    1,565.32/2,347.98 = 1,200.76/x
  3. Step 3: Cross multiply
    1,565.32x = 2,347.98 × 1,200.76
  4. Step 4: Simplify right side
    1,565.32x = 2,819,360.46
  5. Step 5: Solve for x
    x = 2,819,360.46/1,565.32
  6. Step 6: Final answer
    x = 1,801.14

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