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Finding the Fourth Proportional to 2,971.65, 4,460.18 and 1,586.17

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Solution

The fourth proportional to 2,971.65, 4,460.18 and 1,586.17 is: 2,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.65 : 4,460.18 = 1,586.17 : x
  2. Step 2: Convert to fraction form
    2,971.65/4,460.18 = 1,586.17/x
  3. Step 3: Cross multiply
    2,971.65x = 4,460.18 × 1,586.17
  4. Step 4: Simplify right side
    2,971.65x = 7,074,603.71
  5. Step 5: Solve for x
    x = 7,074,603.71/2,971.65
  6. Step 6: Final answer
    x = 2,380.70

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