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Finding the Fourth Proportional to 1,696.51, 2,543.95 and 964.81

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Solution

The fourth proportional to 1,696.51, 2,543.95 and 964.81 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.51 : 2,543.95 = 964.81 : x
  2. Step 2: Convert to fraction form
    1,696.51/2,543.95 = 964.81/x
  3. Step 3: Cross multiply
    1,696.51x = 2,543.95 × 964.81
  4. Step 4: Simplify right side
    1,696.51x = 2,454,428.40
  5. Step 5: Solve for x
    x = 2,454,428.40/1,696.51
  6. Step 6: Final answer
    x = 1,446.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.