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Finding the Fourth Proportional to 1,348, 2,008.60 and 1,202.64

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Solution

The fourth proportional to 1,348, 2,008.60 and 1,202.64 is: 1,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348 : 2,008.60 = 1,202.64 : x
  2. Step 2: Convert to fraction form
    1,348/2,008.60 = 1,202.64/x
  3. Step 3: Cross multiply
    1,348x = 2,008.60 × 1,202.64
  4. Step 4: Simplify right side
    1,348x = 2,415,622.70
  5. Step 5: Solve for x
    x = 2,415,622.70/1,348
  6. Step 6: Final answer
    x = 1,792.00

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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.