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Finding the Fourth Proportional to 1,513.64, 2,267.40 and 1,387.64

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Solution

The fourth proportional to 1,513.64, 2,267.40 and 1,387.64 is: 2,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.64 : 2,267.40 = 1,387.64 : x
  2. Step 2: Convert to fraction form
    1,513.64/2,267.40 = 1,387.64/x
  3. Step 3: Cross multiply
    1,513.64x = 2,267.40 × 1,387.64
  4. Step 4: Simplify right side
    1,513.64x = 3,146,334.94
  5. Step 5: Solve for x
    x = 3,146,334.94/1,513.64
  6. Step 6: Final answer
    x = 2,078.65

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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.