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Finding the Fourth Proportional to 1,582.55, 2,360.85 and 1,537.86

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Solution

The fourth proportional to 1,582.55, 2,360.85 and 1,537.86 is: 2,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.55 : 2,360.85 = 1,537.86 : x
  2. Step 2: Convert to fraction form
    1,582.55/2,360.85 = 1,537.86/x
  3. Step 3: Cross multiply
    1,582.55x = 2,360.85 × 1,537.86
  4. Step 4: Simplify right side
    1,582.55x = 3,630,656.78
  5. Step 5: Solve for x
    x = 3,630,656.78/1,582.55
  6. Step 6: Final answer
    x = 2,294.19

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