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Finding the Fourth Proportional to 1,393, 2,087.70 and 1,043.60

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Solution

The fourth proportional to 1,393, 2,087.70 and 1,043.60 is: 1,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393 : 2,087.70 = 1,043.60 : x
  2. Step 2: Convert to fraction form
    1,393/2,087.70 = 1,043.60/x
  3. Step 3: Cross multiply
    1,393x = 2,087.70 × 1,043.60
  4. Step 4: Simplify right side
    1,393x = 2,178,723.72
  5. Step 5: Solve for x
    x = 2,178,723.72/1,393
  6. Step 6: Final answer
    x = 1,564.05

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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.