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Finding the Fourth Proportional to 2,506.51, 3,754.29 and 1,271.80

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Solution

The fourth proportional to 2,506.51, 3,754.29 and 1,271.80 is: 1,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.51 : 3,754.29 = 1,271.80 : x
  2. Step 2: Convert to fraction form
    2,506.51/3,754.29 = 1,271.80/x
  3. Step 3: Cross multiply
    2,506.51x = 3,754.29 × 1,271.80
  4. Step 4: Simplify right side
    2,506.51x = 4,774,706.02
  5. Step 5: Solve for x
    x = 4,774,706.02/2,506.51
  6. Step 6: Final answer
    x = 1,904.92

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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.