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Finding the Fourth Proportional to 1,538.76, 2,316.36 and 1,380

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Solution

The fourth proportional to 1,538.76, 2,316.36 and 1,380 is: 2,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.76 : 2,316.36 = 1,380 : x
  2. Step 2: Convert to fraction form
    1,538.76/2,316.36 = 1,380/x
  3. Step 3: Cross multiply
    1,538.76x = 2,316.36 × 1,380
  4. Step 4: Simplify right side
    1,538.76x = 3,196,576.80
  5. Step 5: Solve for x
    x = 3,196,576.80/1,538.76
  6. Step 6: Final answer
    x = 2,077.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.