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Finding the Fourth Proportional to 2,533.78, 3,498.70 and 1,746.46

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Solution

The fourth proportional to 2,533.78, 3,498.70 and 1,746.46 is: 2,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.78 : 3,498.70 = 1,746.46 : x
  2. Step 2: Convert to fraction form
    2,533.78/3,498.70 = 1,746.46/x
  3. Step 3: Cross multiply
    2,533.78x = 3,498.70 × 1,746.46
  4. Step 4: Simplify right side
    2,533.78x = 6,110,339.60
  5. Step 5: Solve for x
    x = 6,110,339.60/2,533.78
  6. Step 6: Final answer
    x = 2,411.55

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