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Finding the Fourth Proportional to 2,706.51, 3,735.11 and 1,587.50

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Solution

The fourth proportional to 2,706.51, 3,735.11 and 1,587.50 is: 2,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.51 : 3,735.11 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    2,706.51/3,735.11 = 1,587.50/x
  3. Step 3: Cross multiply
    2,706.51x = 3,735.11 × 1,587.50
  4. Step 4: Simplify right side
    2,706.51x = 5,929,486.42
  5. Step 5: Solve for x
    x = 5,929,486.42/2,706.51
  6. Step 6: Final answer
    x = 2,190.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.