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Finding the Fourth Proportional to 1,496.85, 2,065.66 and 867.50

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Solution

The fourth proportional to 1,496.85, 2,065.66 and 867.50 is: 1,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.85 : 2,065.66 = 867.50 : x
  2. Step 2: Convert to fraction form
    1,496.85/2,065.66 = 867.50/x
  3. Step 3: Cross multiply
    1,496.85x = 2,065.66 × 867.50
  4. Step 4: Simplify right side
    1,496.85x = 1,791,950.26
  5. Step 5: Solve for x
    x = 1,791,950.26/1,496.85
  6. Step 6: Final answer
    x = 1,197.15

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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.