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Finding the Fourth Proportional to 1,665.72, 2,298.68 and 919.69

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Solution

The fourth proportional to 1,665.72, 2,298.68 and 919.69 is: 1,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.72 : 2,298.68 = 919.69 : x
  2. Step 2: Convert to fraction form
    1,665.72/2,298.68 = 919.69/x
  3. Step 3: Cross multiply
    1,665.72x = 2,298.68 × 919.69
  4. Step 4: Simplify right side
    1,665.72x = 2,114,079.04
  5. Step 5: Solve for x
    x = 2,114,079.04/1,665.72
  6. Step 6: Final answer
    x = 1,269.17

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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.