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Finding the Fourth Proportional to 2,675.84, 4,013.46 and 1,032.25

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Solution

The fourth proportional to 2,675.84, 4,013.46 and 1,032.25 is: 1,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.84 : 4,013.46 = 1,032.25 : x
  2. Step 2: Convert to fraction form
    2,675.84/4,013.46 = 1,032.25/x
  3. Step 3: Cross multiply
    2,675.84x = 4,013.46 × 1,032.25
  4. Step 4: Simplify right side
    2,675.84x = 4,142,888.67
  5. Step 5: Solve for x
    x = 4,142,888.67/2,675.84
  6. Step 6: Final answer
    x = 1,548.26

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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.