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Finding the Fourth Proportional to 2,527.48, 3,488.46 and 1,699

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Solution

The fourth proportional to 2,527.48, 3,488.46 and 1,699 is: 2,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.48 : 3,488.46 = 1,699 : x
  2. Step 2: Convert to fraction form
    2,527.48/3,488.46 = 1,699/x
  3. Step 3: Cross multiply
    2,527.48x = 3,488.46 × 1,699
  4. Step 4: Simplify right side
    2,527.48x = 5,926,893.54
  5. Step 5: Solve for x
    x = 5,926,893.54/2,527.48
  6. Step 6: Final answer
    x = 2,344.98

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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.