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Finding the Fourth Proportional to 1,978.34, 2,971.62 and 1,570.32

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Solution

The fourth proportional to 1,978.34, 2,971.62 and 1,570.32 is: 2,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.34 : 2,971.62 = 1,570.32 : x
  2. Step 2: Convert to fraction form
    1,978.34/2,971.62 = 1,570.32/x
  3. Step 3: Cross multiply
    1,978.34x = 2,971.62 × 1,570.32
  4. Step 4: Simplify right side
    1,978.34x = 4,666,394.32
  5. Step 5: Solve for x
    x = 4,666,394.32/1,978.34
  6. Step 6: Final answer
    x = 2,358.75

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