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Finding the Fourth Proportional to 1,667.58, 2,497.10 and 1,618.31

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Solution

The fourth proportional to 1,667.58, 2,497.10 and 1,618.31 is: 2,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.58 : 2,497.10 = 1,618.31 : x
  2. Step 2: Convert to fraction form
    1,667.58/2,497.10 = 1,618.31/x
  3. Step 3: Cross multiply
    1,667.58x = 2,497.10 × 1,618.31
  4. Step 4: Simplify right side
    1,667.58x = 4,041,061.32
  5. Step 5: Solve for x
    x = 4,041,061.32/1,667.58
  6. Step 6: Final answer
    x = 2,423.31

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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.