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Finding the Fourth Proportional to 1,897.75, 2,849.10 and 1,666.90

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Solution

The fourth proportional to 1,897.75, 2,849.10 and 1,666.90 is: 2,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.75 : 2,849.10 = 1,666.90 : x
  2. Step 2: Convert to fraction form
    1,897.75/2,849.10 = 1,666.90/x
  3. Step 3: Cross multiply
    1,897.75x = 2,849.10 × 1,666.90
  4. Step 4: Simplify right side
    1,897.75x = 4,749,164.79
  5. Step 5: Solve for x
    x = 4,749,164.79/1,897.75
  6. Step 6: Final answer
    x = 2,502.52

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