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Finding the Fourth Proportional to 2,547.48, 3,824.86 and 1,570.62

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Solution

The fourth proportional to 2,547.48, 3,824.86 and 1,570.62 is: 2,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.48 : 3,824.86 = 1,570.62 : x
  2. Step 2: Convert to fraction form
    2,547.48/3,824.86 = 1,570.62/x
  3. Step 3: Cross multiply
    2,547.48x = 3,824.86 × 1,570.62
  4. Step 4: Simplify right side
    2,547.48x = 6,007,401.61
  5. Step 5: Solve for x
    x = 6,007,401.61/2,547.48
  6. Step 6: Final answer
    x = 2,358.17

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