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Finding the Fourth Proportional to 2,602.13, 3,899.75 and 1,870.16

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Solution

The fourth proportional to 2,602.13, 3,899.75 and 1,870.16 is: 2,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.13 : 3,899.75 = 1,870.16 : x
  2. Step 2: Convert to fraction form
    2,602.13/3,899.75 = 1,870.16/x
  3. Step 3: Cross multiply
    2,602.13x = 3,899.75 × 1,870.16
  4. Step 4: Simplify right side
    2,602.13x = 7,293,127.61
  5. Step 5: Solve for x
    x = 7,293,127.61/2,602.13
  6. Step 6: Final answer
    x = 2,802.76

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