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Finding the Fourth Proportional to 1,496.91, 2,065.15 and 937.14

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Solution

The fourth proportional to 1,496.91, 2,065.15 and 937.14 is: 1,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.91 : 2,065.15 = 937.14 : x
  2. Step 2: Convert to fraction form
    1,496.91/2,065.15 = 937.14/x
  3. Step 3: Cross multiply
    1,496.91x = 2,065.15 × 937.14
  4. Step 4: Simplify right side
    1,496.91x = 1,935,334.67
  5. Step 5: Solve for x
    x = 1,935,334.67/1,496.91
  6. Step 6: Final answer
    x = 1,292.89

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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.