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Finding the Fourth Proportional to 2,657.34, 3,984.51 and 1,271.01

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Solution

The fourth proportional to 2,657.34, 3,984.51 and 1,271.01 is: 1,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.34 : 3,984.51 = 1,271.01 : x
  2. Step 2: Convert to fraction form
    2,657.34/3,984.51 = 1,271.01/x
  3. Step 3: Cross multiply
    2,657.34x = 3,984.51 × 1,271.01
  4. Step 4: Simplify right side
    2,657.34x = 5,064,352.06
  5. Step 5: Solve for x
    x = 5,064,352.06/2,657.34
  6. Step 6: Final answer
    x = 1,905.80

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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.