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Finding the Fourth Proportional to 1,665.84, 2,298.93 and 919.90

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Solution

The fourth proportional to 1,665.84, 2,298.93 and 919.90 is: 1,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.84 : 2,298.93 = 919.90 : x
  2. Step 2: Convert to fraction form
    1,665.84/2,298.93 = 919.90/x
  3. Step 3: Cross multiply
    1,665.84x = 2,298.93 × 919.90
  4. Step 4: Simplify right side
    1,665.84x = 2,114,785.71
  5. Step 5: Solve for x
    x = 2,114,785.71/1,665.84
  6. Step 6: Final answer
    x = 1,269.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.