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Finding the Fourth Proportional to 1,670.91, 2,510.82 and 1,565.82

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Solution

The fourth proportional to 1,670.91, 2,510.82 and 1,565.82 is: 2,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.91 : 2,510.82 = 1,565.82 : x
  2. Step 2: Convert to fraction form
    1,670.91/2,510.82 = 1,565.82/x
  3. Step 3: Cross multiply
    1,670.91x = 2,510.82 × 1,565.82
  4. Step 4: Simplify right side
    1,670.91x = 3,931,492.17
  5. Step 5: Solve for x
    x = 3,931,492.17/1,670.91
  6. Step 6: Final answer
    x = 2,352.90

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