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Finding the Fourth Proportional to 2,625.71, 3,623.15 and 1,506.70

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Solution

The fourth proportional to 2,625.71, 3,623.15 and 1,506.70 is: 2,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.71 : 3,623.15 = 1,506.70 : x
  2. Step 2: Convert to fraction form
    2,625.71/3,623.15 = 1,506.70/x
  3. Step 3: Cross multiply
    2,625.71x = 3,623.15 × 1,506.70
  4. Step 4: Simplify right side
    2,625.71x = 5,458,974.46
  5. Step 5: Solve for x
    x = 5,458,974.46/2,625.71
  6. Step 6: Final answer
    x = 2,079.05

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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.