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Finding the Fourth Proportional to 2,569.46, 3,854.18 and 1,031.54

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Solution

The fourth proportional to 2,569.46, 3,854.18 and 1,031.54 is: 1,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.46 : 3,854.18 = 1,031.54 : x
  2. Step 2: Convert to fraction form
    2,569.46/3,854.18 = 1,031.54/x
  3. Step 3: Cross multiply
    2,569.46x = 3,854.18 × 1,031.54
  4. Step 4: Simplify right side
    2,569.46x = 3,975,724.15
  5. Step 5: Solve for x
    x = 3,975,724.15/2,569.46
  6. Step 6: Final answer
    x = 1,547.30

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