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Finding the Fourth Proportional to 1,496.29, 2,063.64 and 935.74

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Solution

The fourth proportional to 1,496.29, 2,063.64 and 935.74 is: 1,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.29 : 2,063.64 = 935.74 : x
  2. Step 2: Convert to fraction form
    1,496.29/2,063.64 = 935.74/x
  3. Step 3: Cross multiply
    1,496.29x = 2,063.64 × 935.74
  4. Step 4: Simplify right side
    1,496.29x = 1,931,030.49
  5. Step 5: Solve for x
    x = 1,931,030.49/1,496.29
  6. Step 6: Final answer
    x = 1,290.55

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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.