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Finding the Fourth Proportional to 2,071.90, 3,107.94 and 1,032.40

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Solution

The fourth proportional to 2,071.90, 3,107.94 and 1,032.40 is: 1,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.90 : 3,107.94 = 1,032.40 : x
  2. Step 2: Convert to fraction form
    2,071.90/3,107.94 = 1,032.40/x
  3. Step 3: Cross multiply
    2,071.90x = 3,107.94 × 1,032.40
  4. Step 4: Simplify right side
    2,071.90x = 3,208,637.26
  5. Step 5: Solve for x
    x = 3,208,637.26/2,071.90
  6. Step 6: Final answer
    x = 1,548.64

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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.