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Finding the Fourth Proportional to 2,710.64, 3,740.70 and 1,531.64

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Solution

The fourth proportional to 2,710.64, 3,740.70 and 1,531.64 is: 2,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.64 : 3,740.70 = 1,531.64 : x
  2. Step 2: Convert to fraction form
    2,710.64/3,740.70 = 1,531.64/x
  3. Step 3: Cross multiply
    2,710.64x = 3,740.70 × 1,531.64
  4. Step 4: Simplify right side
    2,710.64x = 5,729,405.75
  5. Step 5: Solve for x
    x = 5,729,405.75/2,710.64
  6. Step 6: Final answer
    x = 2,113.67

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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.