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Finding the Fourth Proportional to 2,706.18, 3,734.53 and 1,527.25

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Solution

The fourth proportional to 2,706.18, 3,734.53 and 1,527.25 is: 2,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.18 : 3,734.53 = 1,527.25 : x
  2. Step 2: Convert to fraction form
    2,706.18/3,734.53 = 1,527.25/x
  3. Step 3: Cross multiply
    2,706.18x = 3,734.53 × 1,527.25
  4. Step 4: Simplify right side
    2,706.18x = 5,703,547.79
  5. Step 5: Solve for x
    x = 5,703,547.79/2,706.18
  6. Step 6: Final answer
    x = 2,107.60

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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.