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Finding the Fourth Proportional to 1,494.50, 2,226.90 and 1,330.93

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Solution

The fourth proportional to 1,494.50, 2,226.90 and 1,330.93 is: 1,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.50 : 2,226.90 = 1,330.93 : x
  2. Step 2: Convert to fraction form
    1,494.50/2,226.90 = 1,330.93/x
  3. Step 3: Cross multiply
    1,494.50x = 2,226.90 × 1,330.93
  4. Step 4: Simplify right side
    1,494.50x = 2,963,830.23
  5. Step 5: Solve for x
    x = 2,963,830.23/1,494.50
  6. Step 6: Final answer
    x = 1,983.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.