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Finding the Fourth Proportional to 3,075.78, 4,612.80 and 1,430.66

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Solution

The fourth proportional to 3,075.78, 4,612.80 and 1,430.66 is: 2,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.78 : 4,612.80 = 1,430.66 : x
  2. Step 2: Convert to fraction form
    3,075.78/4,612.80 = 1,430.66/x
  3. Step 3: Cross multiply
    3,075.78x = 4,612.80 × 1,430.66
  4. Step 4: Simplify right side
    3,075.78x = 6,599,348.45
  5. Step 5: Solve for x
    x = 6,599,348.45/3,075.78
  6. Step 6: Final answer
    x = 2,145.59

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