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Finding the Fourth Proportional to 1,925.72, 2,890.62 and 1,564.86

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Solution

The fourth proportional to 1,925.72, 2,890.62 and 1,564.86 is: 2,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.72 : 2,890.62 = 1,564.86 : x
  2. Step 2: Convert to fraction form
    1,925.72/2,890.62 = 1,564.86/x
  3. Step 3: Cross multiply
    1,925.72x = 2,890.62 × 1,564.86
  4. Step 4: Simplify right side
    1,925.72x = 4,523,415.61
  5. Step 5: Solve for x
    x = 4,523,415.61/1,925.72
  6. Step 6: Final answer
    x = 2,348.95

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