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Finding the Fourth Proportional to 1,696.80, 2,341.54 and 950.76

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Solution

The fourth proportional to 1,696.80, 2,341.54 and 950.76 is: 1,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.80 : 2,341.54 = 950.76 : x
  2. Step 2: Convert to fraction form
    1,696.80/2,341.54 = 950.76/x
  3. Step 3: Cross multiply
    1,696.80x = 2,341.54 × 950.76
  4. Step 4: Simplify right side
    1,696.80x = 2,226,242.57
  5. Step 5: Solve for x
    x = 2,226,242.57/1,696.80
  6. Step 6: Final answer
    x = 1,312.02

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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.