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Finding the Fourth Proportional to 1,871.16, 2,801.71 and 1,047.08

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Solution

The fourth proportional to 1,871.16, 2,801.71 and 1,047.08 is: 1,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.16 : 2,801.71 = 1,047.08 : x
  2. Step 2: Convert to fraction form
    1,871.16/2,801.71 = 1,047.08/x
  3. Step 3: Cross multiply
    1,871.16x = 2,801.71 × 1,047.08
  4. Step 4: Simplify right side
    1,871.16x = 2,933,614.51
  5. Step 5: Solve for x
    x = 2,933,614.51/1,871.16
  6. Step 6: Final answer
    x = 1,567.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.