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Finding the Fourth Proportional to 1,387.13, 1,913.69 and 1,235.64

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Solution

The fourth proportional to 1,387.13, 1,913.69 and 1,235.64 is: 1,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 1,913.69 = 1,235.64 : x
  2. Step 2: Convert to fraction form
    1,387.13/1,913.69 = 1,235.64/x
  3. Step 3: Cross multiply
    1,387.13x = 1,913.69 × 1,235.64
  4. Step 4: Simplify right side
    1,387.13x = 2,364,625.73
  5. Step 5: Solve for x
    x = 2,364,625.73/1,387.13
  6. Step 6: Final answer
    x = 1,704.69

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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.