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Finding the Fourth Proportional to 2,547.74, 3,822.77 and 1,509.80

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Solution

The fourth proportional to 2,547.74, 3,822.77 and 1,509.80 is: 2,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.74 : 3,822.77 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    2,547.74/3,822.77 = 1,509.80/x
  3. Step 3: Cross multiply
    2,547.74x = 3,822.77 × 1,509.80
  4. Step 4: Simplify right side
    2,547.74x = 5,771,602.81
  5. Step 5: Solve for x
    x = 5,771,602.81/2,547.74
  6. Step 6: Final answer
    x = 2,265.39

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