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Finding the Fourth Proportional to 1,736.94, 2,605.23 and 956.69

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Solution

The fourth proportional to 1,736.94, 2,605.23 and 956.69 is: 1,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.94 : 2,605.23 = 956.69 : x
  2. Step 2: Convert to fraction form
    1,736.94/2,605.23 = 956.69/x
  3. Step 3: Cross multiply
    1,736.94x = 2,605.23 × 956.69
  4. Step 4: Simplify right side
    1,736.94x = 2,492,384.46
  5. Step 5: Solve for x
    x = 2,492,384.46/1,736.94
  6. Step 6: Final answer
    x = 1,434.93

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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.