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Finding the Fourth Proportional to 2,476.63, 3,715.07 and 1,380.18

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Solution

The fourth proportional to 2,476.63, 3,715.07 and 1,380.18 is: 2,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.63 : 3,715.07 = 1,380.18 : x
  2. Step 2: Convert to fraction form
    2,476.63/3,715.07 = 1,380.18/x
  3. Step 3: Cross multiply
    2,476.63x = 3,715.07 × 1,380.18
  4. Step 4: Simplify right side
    2,476.63x = 5,127,465.31
  5. Step 5: Solve for x
    x = 5,127,465.31/2,476.63
  6. Step 6: Final answer
    x = 2,070.34

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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.