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Finding the Fourth Proportional to 1,665.94, 2,298.98 and 919.91

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Solution

The fourth proportional to 1,665.94, 2,298.98 and 919.91 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.94 : 2,298.98 = 919.91 : x
  2. Step 2: Convert to fraction form
    1,665.94/2,298.98 = 919.91/x
  3. Step 3: Cross multiply
    1,665.94x = 2,298.98 × 919.91
  4. Step 4: Simplify right side
    1,665.94x = 2,114,854.69
  5. Step 5: Solve for x
    x = 2,114,854.69/1,665.94
  6. Step 6: Final answer
    x = 1,269.47

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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.